On Integrable Backgrounds Self-dual under Fermionic T-duality

Details On Integrable Backgrounds Self-dual under Fermionic T-duality On Integrable Backgrounds Self-dual under Fermionic T-duality

2009-02-22

arxiv.org/abs/0902.3805v4

JHEP 0904:120,2009

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 27 pages, no figures, JHEP3 style; v2: references added; v3: a comment in subsection 3.3 and a reference added; v4: fix

Scientific paper

10.1088/1126-6708/2009/04/120

We study the fermionic T-duality symmetry of integrable Green-Schwarz sigma-models on AdS backgrounds with Ramond-Ramond fluxes in various dimensions. We show that sigma-models based on supercosets of PSU supergroups, such as AdS_2 \times S^2 and AdS_3 \times S^3 are self-dual under fermionic T-duality, while supercosets of OSp supergroups such as non-critical AdS_2 and AdS_4 models, and the critical AdS_4 \times CP^3 background are not. We present a general algebraic argument to when a supercoset is expected to have a fermionic T-duality symmetry, and when it will fail to have one.

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