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.

LaTeX2e, 9 pages, no figures, JHEP style; v2: minor clarifications; v3: typos fixed, matches the published version

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5

Cited by in corpus (13)

• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• One Loop Amplitudes In ABJM
• On AdS_4 x CP^3 T-duality
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• 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
• The two-loop six-point amplitude in ABJM theory
• Real fermionic symmetry in type II supergravity
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• Dual conformal transformations of smooth holographic Wilson loops
• Wilson loops in N=6 superspace for ABJM theory
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities