Fermionic T-duality: A snapshot review

Abstract

Through a self-dual mapping of the geometry AdS5 x S5, fermionic T-duality provides a beautiful geometric interpretation of hidden symmetries for scattering amplitudes in N=4 super-Yang-Mills. Starting with Green-Schwarz sigma-models, we consolidate developments in this area into this small review. In particular, we discuss the translation of fermionic T-duality into the supergravity fields via pure spinor formalism and show that a general class of fermionic transformations can be identified directly in the supergravity. In addition to discussing fermionic T-duality for the geometry AdS4 x CP3, dual to N=6 ABJM theory, we review work on other self-dual geometries. Finally, we present a short round-up of studies with a formal interest in fermionic T-duality.

1+25 pages, typos fixed, updated Journal reference

References in corpus (26)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Type IIB superstring action in AdS_5 x S^5 background
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Duality in the Type--II Superstring Effective Action
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
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• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
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• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Light-cone Superstring in AdS Space-time
• Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• On AdS_4 x CP^3 T-duality
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
• T-duality in Ramond-Ramond backgrounds
• Exploring Fermionic T-duality
• Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory

Cited by in corpus (12)

• Supersymmetric AdS_6 via T-duality
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• Generalized Dualities and Supergroups
• Non-abelian fermionic T-duality in supergravity
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• Fermionic T-duality of DFT
• Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k
• ABJM flux-tube and scattering amplitudes
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory