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  • 1. Albertsson, Cecilia
    et al.
    Lindstrom, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Zabzine, Maxim
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Superconformal boundary conditions for the WZW model2003In: JHEP, Vol. 05, p. 050-Article in journal (Refereed)
  • 2. Albertsson, Cecilia
    et al.
    Lindstrom, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Zabzine, Maxim
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    T-duality for the sigma model with boundaries2004In: JHEP, Vol. 12, p. 056-Article in journal (Refereed)
  • 3. Arai, Masato
    et al.
    Kuzenko, Sergei M.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace2007In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, p. 100-Article in journal (Refereed)
    Abstract [en]

    Kahler manifolds have a natural hyperkahler structure associated with (part of) their cotangent bundles. Using projective superspace, we construct four-dimensional N=2 models on the tangent bundles of some classical Hermitian symmetric spaces (specifically, the four regular series of irreducible compact symmetric Kahler manifolds, and their non-compact versions). A further dualization yields the Kahler potential for the hyperkahler metric on the cotangent bundle.

  • 4. Arai, Masato
    et al.
    Kuzenko, Sergei M.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics2007In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 12, p. 008-Article in journal (Refereed)
    Abstract [en]

    We address the construction of four-dimensional N = 2 supersymmetric non-linear sigma models on tangent bundles of arbitrary Hermitian symmetric spaces startingfrom projective superspace. Using a systematic way of solving the (infinite number of) aux-iliary field equations along with the requirement of supersymmetry, we are able to derivea closed form for the Lagrangian on the tangent bundle and to dualize it to give the hy-perk ̈hler potential on the cotangent bundle. As an application, the case of the exceptional     asymmetric space E6 / SO(10) × U(1) is explicitly worked out for the first time.

  • 5. Bergström, Lars
    et al.
    Lindström, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    The Oskar Klein memorial lectures. Vol. 32001Book (Other scientific)
  • 6. Bossard, G.
    et al.
    Howe, P. S.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Stelle, K. S.
    Wulff, L.
    Integral invariants in maximally supersymmetric Yang-Mills theories2011In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 5, p. 021-Article in journal (Refereed)
    Abstract [en]

    Integral invariants in maximally supersymmetric Yang-Mills theories are discussed in spacetime dimensions 4 <= D <= 10 for SU(k) gauge groups. It is shown that, in addition to the action, there are three special invariants in all dimensions. Two of these, the single-and double-trace F-4 invariants, are of Chern-Simons type in D = 9, 10 and BPS type in D <= 8, while the third, the double-trace of two derivatives acting on F-4, can be expressed in terms of a gauge-invariant super-D-form in all dimensions. We show that the super-ten-forms for D = 10 F-4 invariants have interesting cohomological properties and we also discuss some features of other invariants, including the single-trace d(2)F(4), which has a special form in D = 10. The implications of these results for ultra-violet divergences are discussed in the framework of algebraic renormalisation.

  • 7.
    Bredthauer, Andreas
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Lindstrom, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Persson, Jonas
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    SL(2,Z) tensionless string backgrounds in IIB string theory2003In: Class. Quant. Grav., Vol. 20, p. 3081-3086Article in journal (Refereed)
  • 8.
    Bredthauer, Andreas
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Lindstrom, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Persson, Jonas
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Wulff, Linus
    Type IIB tensionless superstrings in a pp-wave background2004In: JHEP, Vol. 02, p. 051-Article in journal (Refereed)
  • 9. Bredthauer, Andreas
    et al.
    Lindström, Ulf
    Persson, Jonas
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    First-order supersymmetric sigma models and target space geometry2006In: Journal of High Energy Physics, ISSN 1029-8479, Vol. 01, no 144Article in journal (Refereed)
  • 10.
    Bredthauer, Andreas
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Lindström, Ulf
    Persson, Jonas
    First-order supersymmetric sigma models and target space geometry2006In: Journal of High Energy Physics, ISSN 1029-8479, Vol. 01, no 144Article in journal (Refereed)
  • 11.
    Bredthauer, Andreas
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    Lindström, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    Persson, Jonas
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    First-order supersymmetric sigma models and target space geometry2006In: Journal of High Energy Physics, Vol. 0601, p. 144-Article in journal (Refereed)
    Abstract [en]

    We study the conditions under which N=(1,1) generalized sigma models support an extension to N=(2,2). The enhanced supersymmetry is related to the target space complex geometry. Concentrating on a simple situation, related to Poisson sigma models, we develop a language that may help us analyze more complicated models in the future. In particular, we uncover a geometrical framework which contains generalized complex geometry as a special case.

  • 12. Bredthauer, Andreas
    et al.
    Lindström, Ulf
    Persson, Jonas
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    SL(2,Z) tensionless string backgrounds in IIB string theory2003In: Classical and Quantum Gravity, ISSN 0264-9381, Vol. 20, p. 3081–3086-Article in journal (Refereed)
  • 13.
    Bredthauer, Andreas
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Lindström, Ulf
    Persson, Jonas
    SL(2,Z) tensionless string backgrounds in IIB string theory2003In: Classical and Quantum Gravity, ISSN 0264-9381, Vol. 20, p. 3081-3086Article in journal (Refereed)
  • 14.
    Bredthauer, Andreas
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Lindström, Ulf
    Persson, Jonas
    Wulff, Linus
    Type IIB tensionless superstrings in a pp-wave background2004In: Journal of High Energy Physics, ISSN 1029-8479, Vol. 01, no 051Article in journal (Refereed)
  • 15. Bredthauer, Andreas
    et al.
    Lindström, Ulf
    Persson, Jonas
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Wulff, Linus
    Type IIB tensionless superstrings in a pp-wave background2004In: Journal of High Energy Physics, ISSN 1029-8479, Vol. 02, no 051Article in journal (Refereed)
  • 16.
    Bredthauer, Andreas
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Persson, Jonas
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Generalized Kähler geometry from supersymmetric sigma models2006In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 77, no 3, p. 291-308Article in journal (Refereed)
    Abstract [en]

    We give a physical derivation of generalized Kahler geometry. Starting from a supersymmetric nonlinear sigma model, we rederive and explain the results of Gualtieri (Generalized complex geometry, DPhil thesis, Oxford University, 2004) regarding the equivalence between generalized Kahler geometry and the bi-hermitean geometry of Gates et al. (Nucl Phys B248:157, 1984). When cast in the language of supersymmetric sigma models, this relation maps precisely to that between the Lagrangian and the Hamiltonian formalisms. We also discuss topological twist in this context.

  • 17. Butter, Daniel
    et al.
    Kuzenko, Sergei M.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Tartaglino-Mazzucchelli, Gabriele
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Extended supersymmetric sigma models in AdS(4) from projective superspace2012In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 5, p. 138-Article in journal (Refereed)
    Abstract [en]

    There exist two superspace approaches to describe N = 2 supersymmetric nonlinear sigma-models in four-dimensional anti-de Sitter (AdS(4)) space: (i) in terms of N = 1 Ads chiral superfields, as developed in arXiv:1105.3111 and arXiv:1108.5290; and (ii) in terms of N = 2 polar supermultiplets using the AdS projective-superspace techniques developed in arXiv:0807.3368. The virtue of the approach (i) is that it makes manifest the geometric properties of the N = 2 supersymmetric sigma-models in AdS(4). The target space must be a non-compact hyperkahler manifold endowed with a Killing vector field which generates an SO(2) group of rotations on the two-sphere of complex structures. The power of the approach (ii) is that it allows us, in principle, to generate hyperkahler metrics as well as to address the problem of deformations of such metrics. Here we show how to relate the formulation (ii) to (i) by integrating out an infinite number of N = 1 AdS auxiliary superfields and performing a superfield duality transformation. We also develop a novel description of the most general N = 2 supersymmetric nonlinear sigma-model in AdS(4) in terms of chiral superfields on three-dimensional N = 2 flat superspace without central charge. This superspace naturally originates from a conformally flat realization for the four-dimensional N = 2 AdS superspace that makes use of Poincare coordinates for AdS(4). This novel formulation allows us to uncover several interesting geometric results.

  • 18. Drummond, J. M.
    et al.
    Howe, P. S.
    Lindstrom, U
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Kappa-symmetric non-Abelian Born-Infeld actions in three dimensions2002In: Class. Quant. Grav., Vol. 19, p. 6477-6488Article in journal (Refereed)
  • 19.
    Göteman, Malin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Pseudo-Hyperkähler Geometry and Generalized Kähler Geometry2011In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 95, no 3, p. 211-222Article in journal (Refereed)
    Abstract [en]

    We discuss the conditions for additional supersymmetry and twisted super-symmetry in N = (2, 2) supersymmetric nonlinear sigma models described by one left and one right semi-chiral superfield and carrying a pair of non-commuting complex structures. Focus is on linear non-manifest transformations of these fields that have an algebra that closes off-shell. We find that additional linear supersymmetry has no interesting solution, whereas additional linear twisted supersymmetry has solutions with interesting geometrical properties. We solve the conditions for invariance of the action and show that these solutions correspond to a bi-hermitian metric of signature (2, 2) and a pseudo-hyperkahler geometry of the target space.

  • 20.
    Göteman, Malin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, M.
    Ryb, Itai
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Off-shell N = (4,4) supersymmetry for new (2,2) vector multiplets2011In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, p. 088-Article in journal (Refereed)
    Abstract [en]

    We discuss the conditions for extra supersymmetry of the N = (2, 2) super-symmetric vector multiplets described in arXiv:0705.3201 [hep-th] and in arXiv:0808.1535 [hep-th]. We find (4, 4) supersymmetry for the semichiral vector multiplet but not for the Large Vector Multiplet.

  • 21.
    Göteman, Malin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, M.
    Ryb, Itai
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Sigma models with off-shell N = (4,4) supersymmetry and non-commuting complex structures2010In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, p. 055-Article in journal (Refereed)
    Abstract [en]

    We describe the conditions for extra supersymmetry in N = (2, 2) supersymmetric nonlinear sigma models written in terms of semichiral superfields. We find that some of these models have additional off-shell supersymmetry. The (4, 4) supersymmetry introduces geometrical structures on the target-space which are conveniently described in terms of Yano f-structures and Magri-Morosi concomitants. On-shell, we relate the new structures to the known bi-hypercomplex structures.

  • 22.
    Göteman, Malin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, Martin
    Stony Brook University, NY.
    Semichiral Sigma Models with 4D Hyperkähler Geometry2013In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, p. 073-Article in journal (Refereed)
    Abstract [en]

    Semichiral sigma models with a four-dimensional target space do not support, extended N = (4, 4) supersymmetries off-shell [1, 2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2,2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkahler geometry. We give non-trivial examples of these models.

  • 23. Hadasz, Leszek
    et al.
    Lindstrom, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Rocek, Martin
    von Unge, Rikard
    Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields2004In: Phys. Rev., Vol. D69, p. 105020-Article in journal (Refereed)
  • 24. Hjelmeland, S
    et al.
    Lindström, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Comments on dualities on group manifolds and supersymmetry2003Other (Other scientific)
  • 25. Howe, P. S.
    et al.
    Kerstan, S. F.
    Lindstrom, U
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Tsimpis, D.
    The deformed M2-brane2003In: JHEP, Vol. 09, p. 013-Article in journal (Refereed)
  • 26.
    Howe, P. S.
    et al.
    Kings Coll London, Dept Math, London WC2B 2LS, England..
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Univ London Imperial Coll Sci Technol & Med, Theoret Phys, Prince Consort Rd, London SW7 2AZ, England..
    Notes on super Killing tensors2016In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, article id 078Article in journal (Refereed)
    Abstract [en]

    The notion of a Killing tensor is generalised to a superspace setting. Conserved quantities associated with these are defined for superparticles and Poisson brackets are used to define a supersymmetric version of the even Schouten-Nijenhuis bracket. Superconformal Killing tensors in flat superspaces are studied for spacetime dimensions 3,4,5,6 and 10. These tensors are also presented in analytic superspaces and super-twistor spaces for 3,4 and 6 dimensions. Algebraic structures associated with superconformal Killing tensors are also briefly discussed.

  • 27.
    Howe, P. S.
    et al.
    King´s College London.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Imperial College, London.
    Super-Laplacians and their symmetries2017In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 5, article id 119Article in journal (Refereed)
    Abstract [en]

    A super-Laplacian is a set of differential operators in superspace whose highest-dimensional component is given by the spacetime Laplacian. Symmetries of super-Laplacians are given by linear differential operators of arbitrary finite degree and are determined by superconformal Killing tensors. We investigate these in flat superspaces. The differential operators determining the symmetries give rise to algebras which can be identified in many cases with the tensor algebras of the relevant superconformal Lie algebras modulo certain ideals. They have applications to Higher Spin theories.

  • 28. Howe, P. S.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Wulff, L.
    Kappa-symmetry for coincident D-branes2007In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 09Article in journal (Refereed)
    Abstract [en]

    A kappa-symmetric action for coincident D-branes is presented. It is valid in the approximation that the additional fermionic variables, used to incorporate the non-abelian degrees of freedom, are treated classically. The action is written as a Bernstein-Leites integral on the supermanifold obtained from the bosonic worldvolume by adjoining the extra fermions. The integrand is a very simple extension of the usual Green-Schwarz action for a single brane; all symmetries, except for kappa, are manifest, and the proof of kappa-symmetry is very similar to the abelian case.

  • 29. Howe, P. S.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Wulff, L.
    On the covariance of the Dirac-Born-Infeld-Myers action2007In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 02, p. 070-Article in journal (Refereed)
    Abstract [en]

    A covariant version of the non-abelian Dirac-Born-Infeld-Myers action is presented. The non-abelian degrees of freedom are incorporated by adjoining to the (bosonic) worldvolume of the brane a number of anticommuting fermionic directions corresponding to boundary fermions in the string picture. The proposed action treats these variables as classical but can be given a matrix interpretation if a suitable quantisation prescription is adopted. After gauge-fixing and quantisation of the fermions, the action is shown to be in agreement with the Myers action derived from T-duality. It is also shown that the requirement of covariance in the above sense leads to a modified WZ term which also agrees with the one proposed by Myers.

  • 30. Howe, Paul
    et al.
    Lindström, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    Stojevic, V.
    Special holonomy sigma models with boundaries2006In: Journal of High Energy Physics, Vol. 0601, p. 159-Article in journal (Other (popular scientific, debate etc.))
    Abstract [en]

    A study of (1,1) supersymmetric two-dimensional non-linear sigma models with boundary on special holonomy target spaces is presented. In particular, the consistency of the boundary conditions under the various symmetries is studied. Models both with and without torsion are discussed.

  • 31. Howe, Paul
    et al.
    Lindström, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    Wulff, Linus
    Superstrings with boundary fermions2005In: Journal of High Energy Physics, Vol. 0508, p. 041-Article in journal (Refereed)
    Abstract [en]

    The Green-Schwarz action for an open superstring with additional boundary fermions, representing Chan-Paton factors, is studied at the classical level. The boundary geometry is described by a bundle, with fermionic fibres, over the super worldvolume of a D-brane together with a map from the total space into the type II target superspace. This geometry is constrained by the requirement of kappa-symmetry on the boundary together with the use of the equations of motion for the fermions. There are two constraints which are formally similar to those that arise in the abelian case but which differ because of the dependence on the additional coordinates. The model, when quantised, would be a candidate for a fully kappa-symmetric theory of a stack of coincident D-branes including a non-abelian Born-Infeld sector. The example of the D9-brane in a flat background is studied. The constraints on the non-abelian field strength are shown to be in agreement with those derived from the pure spinor approach to the superstring. A covariant formalism is developed and the problem of quantisation is discussed.

  • 32. Hull, C. M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    dos Santos, L. Melo
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    von Unge, R.
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Euclidean supersymmetry, twisting and topological sigma models2008In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 6, p. 031-Article in journal (Refereed)
    Abstract [en]

    We discuss two dimensional N-extended supersymmetry in Euclidean signature and its R-symmetry. For N = 2, the R-symmetry is SO(2) x SO(1, 1), so that only an A-twist is possible. To formulate a B-twist, or to construct Euclidean N = 2 models with H-flux so that the target geometry is generalised Kahler, it is necessary to work with a complexification of the sigma models. These issues are related to the obstructions to the existence of non-trivial twisted chiral superfields in Euclidean superspace.

  • 33. Hull, C. M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
    dos Santos, Melo
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
    von Unge, R
    Zabzine, M
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
    Geometry of the N=2 supersymmetric sigma model with Euclidean worldsheet2009In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 7, p. 078-Article in journal (Refereed)
    Abstract [en]

    We investigate the target space geometry of supersymmetric sigma models in two dimensions with Euclidean signature, and the conditions for N = 2 supersymmetry. For a real action, the geometry for the N = 2 model is not the generalized Kahler geometry that arises for Lorentzian signature, but is an interesting modification of this which is not a complex geometry.

  • 34.
    Hull, Chris
    et al.
    Imperial Coll London, Blackett Lab, Prince Consort Rd, London SW7 AZ, England..
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Imperial Coll London, Blackett Lab, Prince Consort Rd, London SW7 AZ, England..
    All (4,0): Sigma models with (4,0) off-shell supersymmetry2017In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, article id 129Article in journal (Refereed)
    Abstract [en]

    Off-shell (4, 0) supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperkahler with torsion. The off-shell supersymmetry implies that the complex structures are simultaneously integrable and allows us to write actions using extended superspace and projective superspace, giving an explicit construction of the target space geometries.

  • 35.
    Hull, Chris
    et al.
    Imperial Coll London, Blackett Lab, Prince Consort Rd, London SW7 AZ, England..
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Imperial Coll London, Blackett Lab, Prince Consort Rd, London SW7 AZ, England..
    All (4,1): Sigma models with (4, q) off-shell supersymmetry2017In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, article id 042Article in journal (Refereed)
    Abstract [en]

    Off-shell (4, q) supermultiplets in 2-dimensions are constructed for q = 1, 2, 4. These are used to construct sigma models whose target spaces are hyperkahler with torsion. The off-shell supersymmetry implies the three complex structures are simultaneously integrable and allows us to construct actions using extended superspace and projective superspace, giving an explicit construction of the target space geometries.

  • 36. Hull, Chris
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, Martin
    von Unge, Rikard
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Generalized Kahler geometry in (2,1) superspace2012In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 6, p. 13-Article in journal (Refereed)
    Abstract [en]

    Two-dimensional (2, 2) supersymmetric nonlinear sigma models can be described in (2,2), (2, 1) or (1, 1) superspaces. Each description emphasizes different aspects of generalized Kahler geometry. We investigate the reduction from (2,2) to (2, 1) superspace. This has some interesting nontrivial features arising from the elimination of nondynamical fields. We compare quantization in the different superspace formulations.

  • 37. Hull, Chris M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, Martin
    von Unge, Rikard
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Generalized Calabi-Yau metric and generalized Monge-Ampere equation2010In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, p. 060-Article in journal (Refereed)
    Abstract [en]

    In the neighborhood of a regular point, generalized Kahler geometry admits a description in terms of a single real function, the generalized Kahler potential. We study the local conditions for a generalized Kahler manifold to be a generalized Calabi-Yau manifold and we derive a non-linear PDE that the generalized Kahler potential has to satisfy for this to be true. This non-linear PDE can be understood as a generalization of the complex Monge-Ampere equation and its solutions give supergravity solutions with metric, dilaton and H-field.

  • 38. Hull, Chris M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, Martin
    von Unge, Rikard
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Generalized Kahler geometry and gerbes2009In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 10, p. 062-Article in journal (Refereed)
    Abstract [en]

    We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kahler geometry in a manner analogous to the way a holomorphic line bundle is related to Kahler geometry. The relation between the gerbe and the generalized Kahler potential is discussed.

  • 39. Kuzenko, S. M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, M
    Tartaglino-Mazzucchelli, G
    On conformal supergravity and projective superspace2009In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, p. 023-Article in journal (Refereed)
    Abstract [en]

    The projective superspace formulation for four-dimensional N = 2 matter-coupled supergravity presented in arXiv:0805.4683 makes use of the variant superspace realization for the N = 2 Weyl multiplet in which the structure group is SL(2, C) x SU(2) and the super-Weyl transformations are generated by a covariantly chiral parameter. An extension to Howe's realization of N = 2 conformal supergravity in which the tangent space group is SL(2, C) x U(2) and the super-Weyl transformations are generated by a real unconstrained parameter was briefly sketched. Here we give the explicit details of the extension.

  • 40. Kuzenko, Sergei M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Rocek, Martin
    Sachs, Ivo
    Tartaglino-Mazzucchelli, Gabriele
    Three-dimensional N=2 supergravity theories: From superspace to components2014In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 89, no 8, p. 085028-Article in journal (Refereed)
    Abstract [en]

    For general off-shell N = 2 supergravity-matter systems in three spacetime dimensions, a formalism is developed to reduce the corresponding actions from superspace to components. The component actions are explicitly computed in the cases of type I and type II minimal supergravity formulations. We describe the models for topologically massive supergravity which correspond to all the known off-shell formulations for three-dimensional N = 2 supergravity. We also present a universal setting to construct supersymmetric backgrounds associated with these off-shell supergravities.

  • 41. Kuzenko, Sergei M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Tartaglino-Mazzucchelli, Gabriele
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Off-shell supergravity-matter couplings in three dimensions2011In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, p. 120-Article in journal (Refereed)
    Abstract [en]

    We develop the superspace geometry of N-extended conformal supergravity in three space-time dimensions. General off-shell supergravity-matter couplings are constructed in the cases N <= 4.

  • 42. Kuzenko, Sergei M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
    Tartaglino-Mazzucchelli, Gabriele
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
    Three-dimensional (p, q) AdS superspaces and matter couplings2012In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, p. 024-Article in journal (Refereed)
    Abstract [en]

    We introduce N-extended (p, q) AdS superspaces in three space-time dimensions, with p + q = N and p >= q, and analyse their geometry. We show that all (p, q) AdS superspaces with X-IJKL = 0 are conformally flat. Nonlinear sigma-models with (p, q) AdS supersymmetry exist for p + q <= 4 (for N > 4 the target space geometries are highly restricted). Here we concentrate on studying off-shell N = 3 supersymmetric sigma-models in AdS 3. For each of the cases (3,0) and (2,1), we give three different realisations of the supersymmetric action. We show that (3,0) AdS supersymmetry requires the sigma-model to be superconformal, and hence the corresponding target space is a hyperkahler cone. In the case of (2,1) AdS supersymmetry, the sigma-model target space must be a non-compact hyperkahler manifold endowed with a Killing vector field which generates an SO(2) group of rotations of the two-sphere of complex structures.

  • 43. Kuzenko, Sergei M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
    von Unge, Rikard
    New extended superconformal sigma models and quaternion Kahler manifolds2009In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, p. 119-Article in journal (Refereed)
    Abstract [en]

    Quaternion Kahler manifolds are known to be the target spaces for matter hypermultiplets coupled to N = 2 supergravity. It is also known that there is a one-to-one correspondence between 4n-dimensional quaternion Kahler manifolds and those 4(n + 1)dimensional hyperkahler spaces which are the target spaces for rigid superconformal hypermultiplets (such spaces are called hyperkahler cones). In this paper we present a projective-superspace construction to generate a hyperkahler cone M-H(4(n + 1)) of dimension 4(n + 1) from a 2n-dimensional real analytic Kahler-Hodge manifold M-K(2n). The latter emerges as a maximal Kahler submanifold of the 4n-dimensional quaternion Kahler space M-Q(4n) such that its Swann bundle coincides with M-H(4)(n + 1). Our approach should be useful for the explicit construction of new quaternion Kahler metrics. The results obtained are also of interest, e. g., in the context of supergravity reduction N = 2 -> N = 1, or alternatively from the point of view of embedding N = 1 matter-coupled supergravity into an N = 2 theory.

  • 44. Kuzenko, Sergei M.
    et al.
    Lindström, Ulf
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
    von Unge, Rikard
    New supersymmetric sigma-model duality2010In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 10, p. 072-Article in journal (Refereed)
    Abstract [en]

    We study dualities in off-shell 4D N = 2 supersymmetric sigma-models, using the projective superspace approach. These include (i) duality between the real O(2n) and polar multiplets; and (ii) polar-polar duality. We demonstrate that the dual of any superconformal sigma-model is superconformal. Since N = 2 superconformal sigma-models (for which target spaces are hyperkahler cones) formulated in terms of polar multiplets are naturally associated with Kahler cones (which are target spaces for N = 1 superconformal sigma-models), polar-polar duality generates a transformation between different Kahler cones. In the non-superconformal case, we study implications of polar-polar duality for the sigma-model formulation in terms of N = 1 chiral superfields. In particular, we find the relation between the original hyperkahler potential and its dual. As an application of polar-polar duality, we study self-dual models.

  • 45.
    Lindstrom, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Generalized N = (2,2) supersymmetric non-linear sigma models2004In: Phys. Lett., Vol. B587, p. 216-224Article in journal (Refereed)
  • 46.
    Lindstrom, Ulf
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Rocek, Martin
    van Nieuwenhuizen, Peter
    Consistent boundary conditions for open strings2003In: Nucl. Phys., Vol. B662, p. 147-169Article in journal (Refereed)
  • 47.
    Lindstrom, Ulf
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Rocek, Martin
    von Unge, Rikard
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    A potential for generalized Kaehler geometry2007Other (Other academic)
  • 48.
    Lindstrom, Ulf
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Zabzine, Maxim
    D-branes in N = 2 WZW models2003In: Phys. Lett., Vol. B560, p. 108-115Article in journal (Refereed)
  • 49.
    Lindstrom, Ulf
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Zabzine, Maxim
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    N = 2 boundary conditions for non-linear sigma models and Landau-Ginzburg models2003In: JHEP, Vol. 02, p. 006-Article in journal (Refereed)
  • 50.
    Lindstrom, Ulf
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Zabzine, Maxim
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Tensionless strings, WZW models at critical level and massless higher spin fields2004In: Phys. Lett., Vol. B584, p. 178-185Article in journal (Refereed)
12 1 - 50 of 69
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