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Abstract:
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 AdS2 \times S2 and AdS3 \times S3 are self-dual under fermionic T-duality, while supercosets of OSp supergroups such as non-critical AdS2 and AdS4 models, and the critical AdS4 \times CP3 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.
