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Three-dimensional (p, q) AdS superspaces and matter couplings
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, 024- p.Article in journal (Refereed) Published
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.

Place, publisher, year, edition, pages
2012. no 8, 024- p.
Keyword [en]
Extended Supersymmetry, Superspaces, Supersymmetric Effective Theories, Sigma Models
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-187732DOI: 10.1007/JHEP08(2012)024ISI: 000309883600061OAI: oai:DiVA.org:uu-187732DiVA: diva2:575599
Available from: 2012-12-10 Created: 2012-12-10 Last updated: 2017-12-07Bibliographically approved

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Lindström, Ulf

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