On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model

Abstract

In this note we consider a fermionic T-duality of the coset realization of the type IIA sigma-model on AdS_4 \times CP^3 with respect to the three flat directions in AdS_4, six of the fermionic coordinates and three of the CP^3 directions. We show that the Buscher procedure fails as it leads to a singular transformation and discuss the result and its implications.

arXiv commentLaTeX2e, 9 pages, no figures, JHEP style; v2: minor clarifications; v3: typos fixed, matches the published version

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Cited by in corpus (42)

• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• 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
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• On AdS_4 x CP^3 T-duality
• Self-Duality of Green-Schwarz Sigma-Models
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• Tree-Level Formalism
• 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)
• The two-loop six-point amplitude in ABJM theory
• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• Nonlocal Symmetries, Spectral Parameter and Minimal Surfaces in AdS/CFT
• ABJM amplitudes and WL at finite N
• Real fermionic symmetry in type II supergravity
• Non-abelian fermionic T-duality in supergravity
• Aspects of Quantum Fermionic T-duality
• Peculiarities of String Theory on AdS(4) x CP(3)
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• Dual conformal transformations of smooth holographic Wilson loops
• Wilson loops in N=6 superspace for ABJM theory
• ABJM flux-tube and scattering amplitudes
• Fermionic T-duality and Morita Equivalence
• Yangian Symmetry in Five Dimensions
• 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
• Yangian-Like Symmetry of Probe-Brane Actions
• A note on scattering amplitudes on the moduli space of ABJM