Self-Duality of Green-Schwarz Sigma-Models

Abstract

We study fermionic T-duality symmetries of integrable Green-Schwarz sigma-models on Anti-de-Sitter backgrounds with Ramond-Ramond fluxes, constructed as Z_4 supercosets of superconformal algebras. We find three algebraic conditions that guarantee self-duality of the backgrounds under fermionic T-duality, we classify those that satisfy them and construct the map of the monodromy matrix. We introduce new T-duality directions, where some of them contain no bosonic directions, along which the backgrounds are self-dual. We find that the only self-dual backgrounds are AdS_n x S^n for n=2,3,5. In addition we find that the backgrounds AdS_n x S^1 for n=2,3,5, AdS_4 x S^2 and AdS_2 x S^4 are self-dual at the level of the classical action, but have a non-trivial transformation of the dilaton.

39 pages, 1 figure. v2 references added

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• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
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Cited by in corpus (31)

• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Superstrings in AdS(2)xS(2)xT(6)
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• One Loop Amplitudes In ABJM
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• Scattering in ABJ theories
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Light-like Wilson loops in ABJM and maximal transcendentality
• Fermionic T-duality in the pp-wave limit
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Self-duality of the D1-D5 near-horizon
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• ABJM amplitudes and WL at finite N
• Super Non-Abelian T-Duality
• Aspects of Quantum Fermionic T-duality
• Fermionic T-duality and U-duality in type II supergravity
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• Dual conformal transformations of smooth holographic Wilson loops
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory
• A note on scattering amplitudes on the moduli space of ABJM