On Integrable Backgrounds Self-dual under Fermionic T-duality

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 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.

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

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• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Superstrings in AdS(2)xS(2)xT(6)
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
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• One Loop Amplitudes In ABJM
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• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
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• A note on amplitudes in N=6 superconformal Chern-Simons theory
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
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• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Exploring Fermionic T-duality
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• On the ABJM four-point amplitude at three loops and BDS exponentiation
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• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
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• Aspects of Quantum Fermionic T-duality
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• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
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• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes
• Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k
• Fermionic T-duality and Morita Equivalence