On Integrable Backgrounds Self-dual under Fermionic T-duality

Adam, Ido; Dekel, Amit; Oz, Yaron

doi:10.1088/1126-6708/2009/04/120

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On Integrable Backgrounds Self-dual under Fermionic T-duality

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Adam, Ido
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Adam, I., Dekel, A., & Oz, Y. (2009). On Integrable Backgrounds Self-dual under Fermionic T-duality. Journal of High Energy Physics, 2009(4): 120. doi:10.1088/1126-6708/2009/04/120.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-45EA-C

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.