Three-dimensional (p, q) AdS superspaces and matter couplings
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 8, 024- p.Article in journal (Refereed) Published
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.
Extended Supersymmetry, Superspaces, Supersymmetric Effective Theories, Sigma Models
IdentifiersURN: urn:nbn:se:uu:diva-187732DOI: 10.1007/JHEP08(2012)024ISI: 000309883600061OAI: oai:DiVA.org:uu-187732DiVA: diva2:575599