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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.
    Alekseev, A
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Kosmann-Schwarzbach, Y
    Meinrenken, E
    Quasi-Poisson manifolds2002In: Canad. J. Math., ISSN 0008-414X, Vol. 54, p. 3-29Article in journal (Refereed)
  • 4.
    Alekseev, A
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Meinrenken, E
    The non-commutative Weil algebra2000In: INVENTIONES MATHEMATICAE, ISSN 0020-9910, Vol. 139, no 1, p. 135-172Article in journal (Refereed)
    Abstract [en]

    For any compact Lie group G, together with an invariant inner product on its Lie algebra g, we define the non-commutative Well algebra W-G; as a tensor product of the universal enveloping algebra U(g) and the Clifford algebra Cl(8). Just like the usual We

  • 5.
    Alekseev, A
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Meinrenken, E
    Woodward, C
    Correction: The Verlinde formula as fixed point formulas2002In: J. Symplectic Geom., Vol. 1, no 2, p. 427-434.Article in journal (Refereed)
    Abstract [en]

    Due to a publisher error, the correct version of sections 5.4, 5.5, and 5.6 was not printed. The correct version is includedhere.

  • 6.
    Alekseev, A
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Meinrenken, E
    Woodward, C
    Group-valued equivariant localization2000In: INVENTIONES MATHEMATICAE, ISSN 0020-9910, Vol. 140, no 2, p. 327-350Article in journal (Refereed)
    Abstract [en]

    We prove a localization formula for group-valued equivariant de Rham cohomology of a compact G-manifold. This formula is a non-trivial generalization of the localization formula of Berline-Vergne and Atiyah-Bott for the usual equivariant de Rham cohomolog

  • 7.
    Alekseev, A
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Meinrenken, E
    Woodward, C
    Linearization of Poisson actions and singular values of matrix products}2001In: Ann. Inst. Fourier, ISSN 0373-0956, Vol. 51, no 6, p. 1691-1717Article in journal (Other (popular scientific, debate etc.))
  • 8.
    Alekseev, A
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Meinrenken, E
    Woodward, C
    The Verlinde formulas as fixed point formulas2001In: The Journal of Symplectic Geometry, ISSN 1527-5256, Vol. 1, no 1, p. 1-46Article in journal (Refereed)
  • 9.
    Alekseev, A.
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Mironov, A.
    Morozov, A.
    On B-independence of RR charges2002In: Phys. Lett., Vol. B532, p. 350-356Article in journal (Refereed)
  • 10.
    Alekseev, A.
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Polychronakos, A. P.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Smedbäck, M.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    On area and entropy of a black hole2003In: Phys. Lett., Vol. B574, p. 296-300Article in journal (Refereed)
  • 11. Alekseev, Anton
    et al.
    Polychronakos, Alexios
    Smedbäck, Mikael
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    On area and entropy of a black hole2003In: Physics Letters, ISSN 0370-2693, Vol. B 574, p. 296-300Article in journal (Refereed)
  • 12.
    Alekseev, Anton
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Schomerus, Volker
    Strobl, Thomas
    Closed constraint algebras and path integrals for loop group actions2001In: J. Math. Phys., Vol. 42, p. 2144-2155Article in journal (Refereed)
  • 13.
    Alekseev, Anton
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Strobl, Thomas
    Current algebra and differential geometry2005In: JHEP, Vol. 03, p. 035-Article in journal (Refereed)
  • 14.
    Alekseev, Anton Yu.
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Fredenhagen, Stefan
    Quella, Thomas
    Schomerus, Volker
    Non-commutative gauge theory of twisted D-branes2002In: Nucl. Phys., Vol. B646, p. 127-157Article in journal (Refereed)
  • 15.
    Alekseev, AY
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Bytsko, AG
    Wilson lines on noncommutative tori2000In: PHYSICS LETTERS B, ISSN 0370-2693, Vol. 482, no 1-3, p. 271-275Article in journal (Refereed)
    Abstract [en]

    We introduce the notion of a moonodromy for gauge fields with vanishing curvature on the noncommutative torus. Similar to the ordinary gauge theory, traces of the monodromies define noncommutative Wilson lines. Our main result is that these Wilson lines a

  • 16.
    Alekseev, AY
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Recknagel, A
    Schomerus, V
    Brane dynamics in background fluxes and non-commutative geometry2000In: JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, Vol. 2000, no 5, p. U188-U212Article in journal (Refereed)
    Abstract [en]

    Branes in non-trivial backgrounds are expected to exhibit interesting dynamical properties. We use the boundary conformal field theory approach to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength. For branes on an

  • 17.
    Alekseev, AY
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Schomerus, V
    D-branes in the WZW model - art. no. 061901.1999In: PHYSICAL REVIEW D, ISSN 0556-2821, Vol. 6006, no 6, p. 1901-+Article in journal (Other scientific)
    Abstract [en]

    It is stated in the literature that D-branes in the Wess-Zumino-Witten (WZW) model associated with the gluing condition J= -(J) over bar along the boundary correspond to branes filling out the whole group volume. We show instead that the end points of ope

  • 18.
    Alexeev, Anton
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Physics and Materials Science, Theoretical Physics.
    Polychronakos, Alexios
    Smedbäck, Mikael
    Department of Theoretical Physics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Physics and Materials Science, Theoretical Physics.
    Remarks on the black hole entropy and Hawking spectrum in Loop Quantum Gravity2005In: Physical Review D, Vol. 71, p. 067501-Article in journal (Refereed)
    Abstract [en]

    In this note we reply to the criticism by Corichi concerning our proposal for an equidistant area spectrum in loop quantum gravity. We further comment on the emission properties of black holes and on the statistics of links.

  • 19. 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.

  • 20. 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.

  • 21. Arapoglu, S.
    et al.
    Deger, N. S.
    Kaya, A.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Sezgin, E.
    Sundell, P.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Multi-spin giants2004In: Phys. Rev., Vol. D69, p. 106006-Article in journal (Refereed)
  • 22.
    Athavan, N
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Froman, PO
    Froman, N
    Lakshmanan, M
    Quantal two-center Coulomb problem treated by means of the phase-integral method. I. General theory2001In: JOURNAL OF MATHEMATICAL PHYSICS, ISSN 0022-2488, Vol. 42, no 11, p. 5051-5076Article in journal (Refereed)
    Abstract [en]

    The present paper concerns the derivation of phase-integral quantization conditions for the two-center Coulomb problem under the assumption that the two Coulomb centers are fixed. With this restriction we treat the general two-center Coulomb problem accor

  • 23.
    Athavan, N
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Lakshmanan, M
    Froman, N
    Quantal two-center Coulomb problem treated by means of the phase-integral method. II. Quantization conditions in the symmetric case expressed in terms of complete elliptic integrals. Numerical illustration2001In: JOURNAL OF MATHEMATICAL PHYSICS, ISSN 0022-2488, Vol. 42, no 11, p. 5077-5095Article in journal (Refereed)
    Abstract [en]

    The contour integrals, occurring in the arbitrary-order phase-integral quantization conditions given in a previous paper, are in the first- and third-order approximations expressed in terms of complete elliptic integrals in the case that the charges of th

  • 24.
    Athavan, N
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Lakshmanan, M
    Froman, N
    Quantal two-center Coulomb problem treated by means of the phase-integral method. III. Quantization conditions in the general case expressed in terms of complete elliptic integrals. Numerical illustration2001In: JOURNAL OF MATHEMATICAL PHYSICS, ISSN 0022-2488, Vol. 42, no 11, p. 5096-5115Article in journal (Refereed)
    Abstract [en]

    In this paper we take up the quantal two-center problem where the Coulomb centers have arbitrary positive charges. In analogy with the symmetric case, treated in the second paper of this series, we use the knowledge on the quasiclassical dynamics to expre

  • 25.
    Babaev, E
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Characteristic length scales and formation of vortices in the Ginzburg-Landau-Higgs model in the presence of a uniform background charge - art. no. 1725022001In: PHYSICAL REVIEW B, ISSN 0163-1829, Vol. 6317, no 17, p. 2502-+Article in journal (Refereed)
    Abstract [en]

    In this Brief Report we consider a nonlocal Ginzburg-Landau-Higgs model in the presence of a neutralizing uniform background charge. We show that such a system possesses vortices that feature a strong radial electric field. We estimate the basic propertie

  • 26.
    Babaev, E
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Mass generation without symmetry breakdown in the chiral Gross-Neveu model at finite temperature and finite N in 2+1 dimensions2001In: PHYSICS LETTERS B, ISSN 0370-2693, Vol. 497, no 3-4, p. 323-327Article in journal (Refereed)
    Abstract [en]

    The chiral Gross-Neveu model is one of the most popular toy models for QCD being a generic testing field for many ideas in particle physics. It has been studied in the past in detail in the limit of infinite number of flavors of fermions. Quite astonishin

  • 27.
    Babaev, E
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Nonlinear sigma model approach for chiral fluctuations and symmetry breakdown in the Nambu-Jona-Lasinio model - art. no. 0740202000In: PHYSICAL REVIEW D, ISSN 0556-2821, Vol. 6207, no 7, p. 4020-+Article in journal (Refereed)
    Abstract [en]

    Tills paper is organized in two parts. We start with the observation that the recent claim that the chiral symmetry in the Nambu-Jona-Lasinio (NJL) model is necessarily restored by violent chiral fluctuations at N-c = 3 [H. Kleinert and B. Van den Bossche

  • 28.
    Babaev, E
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Nonlinear sigma model approach for phase disorder transitions in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors2001In: INTERNATIONAL JOURNAL OF MODERN PHYSICS A, ISSN 0217-751X, Vol. 16, no 7, p. 1175-1197Article in journal (Refereed)
    Abstract [en]

    We briefly review the nonlinear sigma model approach for the subject of increasing interest: "two-step" phase transitions in the Gross-Neveu and the modified Nambu-Jona-Lasinio models at low N and condensation from pseudogap phase in strong-coupling super

  • 29.
    Babaev, E
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Thermodynamics of the crossover from weak- to strong-coupling superconductivity - art. no. 1845142001In: PHYSICAL REVIEW B, ISSN 0163-1829, Vol. 6318, no 18, p. 4514-+Article in journal (Refereed)
    Abstract [en]

    In this paper we study an evolution of low-temperature thermodynamical quantities for an electron gas with a delta -function attraction as the system crosses over from weak-coupling (BCS-type) to strong-coupling (Bose-type) superconductivity in three and

  • 30.
    Babaev, Egor
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Andreev-Bashkin effect and possible knot solitons in neutron stars2004In: Phys. Rev., Vol. D70, p. 043001-Article in journal (Refereed)
  • 31.
    Babaev, Egor
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Dual neutral variables and knot solitons in triplet superconductors2002In: Phys.Rev.Lett., Vol. 88, p. 177002-Article in journal (Refereed)
    Abstract [en]

    In this paper we derive a dual presentation of free energy functional for spin-triplet superconductors in terms of gauge-invariant variables. The resulting equivalent model in ferromagnetic phase has a form of a version of the Faddeev model. This allows one in particular to conclude that spin-triplet superconductors allow formation of stable finite-length closed vortices (the knotted solitons).

  • 32.
    Babaev, Egor
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    From exotic superconductivity to QCD and back again searching things in common2001Doctoral thesis, comprehensive summary (Other academic)
    Abstract [en]

    This thesis is devoted largely to two new features which Particle Physics and Condensed Matter theory have in common.

    The first part of the thesis is a discussion of formation of phases precursory to the chiral phase transition in relativistic models with four-fermion interactions, considered as toy models for QCD. This discussion is based on analogy with the novel pseudogap concept in strong-coupling and low carrier density superconductors.

    In the second part we discuss a condensed mater realizations of knotted solitions, which were discussed earlier by Faddeev and Niemi. We argue that these defects can exist in superconducting liquid metallic hydrogen and deuterium and two-band superconductors. The knotted solitions is a novel for condensed matter concept and thus it is of great academic interest in this field. The macroscopic quantum origin of topological defects in superfluids implies its rather direct observability. This possibility to actually observe these objects, their properties, stability and interactions may result in a 'feedback" for understanding its role in the infrared limit of Yang-Mills theory complementing ongoing numerical simulations.

    In the third part of the thesis we study the effect of Coulumb interaction on formation of charged vortices in the Abelian Higgs model in the presence of a uniform compensating background field. This study is also of interdisciplinary interest. The description of granular superconductors and Josephson junction arrays usually includes Coulomb terms which accounts for the presence of the cristal lattice. Also it may be relevant for extreme strong coupling or low carrier density superconductors which may have vortices which r-ores are not filled by decomposed Cooper pairs. This study also allows to estimate characteristic length scales of a charged vortices which should be of interests for the studies of knotted solitons formed by two complex scalar fields with Coulomb interaction discussed by Faddeev and Niemi.

  • 33.
    Babaev, Egor
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Phase diagram of a planar two-band superconductor: existence of a non-superconducting superfluid state in this system: Condensation of vortices with fractional flux quantum and existence of a non-superconducting superfluid state in this system2004In: Nucl. Phys., Vol. B686, p. 397-Article in journal (Refereed)
  • 34.
    Babaev, Egor
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Vortices with fractional flux in two-gap superconductors and in extended Faddeev model2002In: Phys.Rev.Lett., Vol. 89, p. 067001-Article in journal (Refereed)
    Abstract [en]

    We discuss vortices allowed in two-gap superconductors, bilayer systems and in equivalent extended Faddeev model. We show that in these systems there exist vortices which carry an arbitrary fraction of magnetic flux quantum. Besides that we discuss topological defects which do not carry magnetic flux and describe features of ordinary one-magnetic-flux-quantum vortices in the two-gap system. The results should be relevant for the newly discovered two-band superconductor $Mg B_2$.

  • 35.
    Babaev, Egor
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Faddeev,
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Niemi, Antti
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Hidden symmetry and duality in a charged two-condensate Bose system2002In: Phys. Rev., Vol. B65, p. 100512-Article in journal (Refereed)
  • 36. Babaev, Egor
    et al.
    Faddeev, L
    Niemi,
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Hidden symmetry and knot solitons in a charged two-condensate Bose system2002In: Physical Review B, Vol. 65, p. 100512-Article in journal (Refereed)
  • 37. Behrndt, K.
    et al.
    Bergshoeff, E.
    Roest, D.
    Sundell, P.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Massive dualities in six dimensions2002In: Class. Quant. Grav., Vol. 19, p. 2171-2200Article in journal (Refereed)
  • 38. Beisert, N.
    et al.
    Klose, Thomas
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Long-range gl(n) integrable spin chains and plane-wave matrix theory2006In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, no 7, p. P07006-Article in journal (Refereed)
    Abstract [en]

    Quantum spin chains arise naturally from perturbative large-N field theories and matrix models. The Hamiltonian of such a model is a long-range deformation of nearest-neighbor type interactions. Here, we study the most general long-range integrable spin chain with spins transforming in the fundamental representation of gl(n). We derive the Hamiltonian and the corresponding asymptotic Bethe ansatz at the leading four perturbative orders with several free parameters. Furthermore, we propose Bethe equations for all orders and identify the moduli of the integrable system. We finally apply our results to plane-wave matrix theory and show that the Hamiltonian in a closed sector is not of this form and therefore not integrable beyond the first perturbative order. This also implies that the complete model is not integrable.

  • 39. Beisert, N.
    et al.
    Minahan, Joseph A.
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Staudacher, M.
    Zarembo, K
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Stringing spins and spinning strings2003In: JHEP, Vol. 09, p. 010-Article in journal (Refereed)
  • 40. Beisert, Niklas
    et al.
    Feretti, Gabriele
    Heise, Reiner
    Zarembo, Konstantin
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    One-Loop QCD Spin Chain and its Spectrum2005In: Nuclear Physics B, Vol. 717, p. 137-189Article in journal (Refereed)
    Abstract [en]

    We study the renormalization of gauge invariant operators in large Nc QCD. We compute the complete matrix of anomalous dimensions to leading order in the 't Hooft coupling and study its eigenvalues. Thinking of the mixing matrix as the Hamiltonian of a generalized spin chain we find a large integrable sector consisting of purely gluonic operators constructed with self-dual field strengths and an arbitrary number of derivatives. This sector contains the true ground state of the spin chain and all the gapless excitations above it. The ground state is essentially the anti-ferromagnetic ground state of a XXX1 spin chain and the excitations carry either a chiral spin quantum number with relativistic dispersion relation or an anti-chiral one with non-relativistic dispersion relation.

  • 41. Beisert, Niklas
    et al.
    Kazakov, V. A.
    Sakai, K.
    Zarembo, Konstantin
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics. Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics, Theoretical Physics.
    Complete spectrum of long operators in N=4 SYM at one loop2005In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 0507, p. 030-Article in journal (Refereed)
    Abstract [en]

    We construct the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of one-loop N=4 gauge theory in the thermodynamic limit. This curve perfectly reproduces the Frolov-Tseytlin limit of the full spectral curve of classical strings on AdS_5xS^5 derived in hep-th/0502226. To complete the comparison we introduce stacks, novel bound states of roots of different flavors which arise in the thermodynamic limit of the corresponding Bethe ansatz equations. We furthermore show the equivalence of various types of Bethe equations for the underlying su(2,2|4) superalgebra, in particular of the type "Beauty" and "Beast".

  • 42. Beisert, Niklas
    et al.
    Kazakov, V.A.
    Sakai, K.
    Zarembo, Konstantin
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    The Algebraic Curve of Classical Superstrings on AdS_5xS^52006In: Communications in Mathematical Physics, Vol. 263, p. 659-710Article in journal (Refereed)
    Abstract [en]

    We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS_5xS^5. For any solution of the equations of motion we derive a spectral curve of degree 4+4. The curve consists purely of conserved quantities, all gauge degrees of freedom have been eliminated in this form. The most relevant quantities of the solution, such as its energy, can be expressed through certain holomorphic integrals on the curve. This allows for a classification of finite gap solutions analogous to the general solution of strings in flat space. The role of fermions in the context of the algebraic curve is clarified. Finally, we derive a set of integral equations which reformulates the algebraic curve as a Riemann-Hilbert problem. They agree with the planar, one-loop N=4 supersymmetric gauge theory proving the complete agreement of spectra in this approximation.

  • 43. Beisert, Niklas
    et al.
    Tseytlin, A.A.
    Zarembo, Konstantin
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
    Matching quantum strings to quantum spins: one-loop vs. finite-size corrections2005In: Nuclear Physics B, Vol. 715, p. 190-210Article in journal (Refereed)
    Abstract [en]

    We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help of the Bethe ansatz. The results of all three approaches are in remarkable agreement with each other. As a byproduct we establish the relationship between linear instabilities in the Landau-Lifshitz model and analyticity properties of the Bethe ansatz.

  • 44. Belavin, V. A.
    et al.
    Chernodub, M. N.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Kozlov, I. E.
    Hedgehogs in Wilson loops and phase transition in SU(2) Yang-Mills theory.2006In: Nucl. Phys., Vol. B748, p. 524-539Article in journal (Refereed)
    Abstract [en]

    We suggest that the gauge-invariant hedgehoglike structures in the Wilson loops are physically interesting degrees of freedom in the Yang--Mills theory. The trajectories of these ``hedgehog loops'' are closed curves corresponding to center-valued (untraced) Wilson loops and are characterized by the center charge and winding number. We show numerically in the SU(2) Yang--Mills theory that the density of hedgehog structures in the thermal Wilson--Polyakov line is very sensitive to the finite-temperature phase transition. The (additively normalized) hedgehog line density behaves like an order parameter: the density is almost independent of the temperature in the confinement phase and changes substantially as the system enters the deconfinement phase. In particular, our results suggest that the (static) hedgehog lines may be relevant degrees of freedom around the deconfinement transition and thus affect evolution of the quark-gluon plasma in high-energy heavy-ion collisions.

  • 45. Bergstrom, Lars
    et al.
    Danielsson, Ulf
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Can MAP and Planck map Planck physics?2002In: JHEP, Vol. 12, p. 038-Article in journal (Refereed)
  • 46. 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)
  • 47.
    Blom, J
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
    Langmann, E
    Finding and solving Calogero-Moser type systems using Yang-Mills gauge theories1999In: NUCLEAR PHYSICS B, ISSN 0550-3213, Vol. 563, no 1-2, p. 506-532Article in journal (Refereed)
    Abstract [en]

    Yang-Mills gauge theory models on a cylinder coupled to external matter charges provide powerful means to fmd and solve certain non-linear integrable systems. We show that, depending on the choice of gauge group and matter charges, such a Yang-Mills model

  • 48. Bonechi, Francesco
    et al.
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Lie algebroids, Lie groupoids and TFT2007In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 57, no 3, p. 731-744Article in journal (Refereed)
    Abstract [en]

    We construct the moduli spaces associated to the solutions of equations of motion (modulo gauge transformations) of the Poisson sigma model with target being an integrable Poisson manifold. The construction can be easily extended to a case of a generic integrable Lie algebroid. Indeed for any Lie algebroid one can associate a BF-like topological field theory which localizes on the space of algebroid morphisms, that can be seen as a generalization of flat connections to the groupoid case. We discuss the finite gauge transformations and discuss the corresponding moduli spaces. We consider the theories both without and with boundaries.

  • 49. Bonechi, Francesco
    et al.
    Zabzine, Maxim
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Poisson Sigma Model on the Sphere2009In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 285, no 3, p. 1033-1063Article in journal (Refereed)
    Abstract [en]

    We evaluate the path integral of the Poisson sigma model on the sphere and study the correlators of quantum observables. We argue that for the path integral to be well-defined the corresponding Poisson structure should be unimodular. The construction of the finite dimensional BV theory is presented and we argue that it is responsible for the leading semiclassical contribution. For a (twisted) generalized Kahler manifold we discuss the gauge fixed action for the Poisson sigma model. Using the localization we prove that for the holomorphic Poisson structure the semiclassical result for the correlators is indeed the full quantum result.

  • 50. Bonelli, Giulio
    et al.
    Tanzini, Aless
    Zabzine, Maxime
    Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
    Computing amplitudes in topological M-theory2007In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, p. 023-Article in journal (Refereed)
    Abstract [en]

    We define a topological quantum membrane theory on a seven dimensionalmanifold of G2 holonomy. We describe in detail the path integral evaluation for membranegeometries given by circle bundles over Riemann surfaces. We show that when the targetspace is CY3 × S 1 quantum amplitudes of non-local observables of membranes wrappingthe circle reduce to the A-model amplitudes. In particular for genus zero we show thatour model computes the Gopakumar-Vafa invariants. Moreover, for membranes wrappingcalibrated homology spheres in the CY3 , we find that the amplitudes of our model arerelated to Joyce invariants.

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