Self-duality of the D1-D5 near-horizon

Abstract

We explore fermionic T-duality and self-duality in the geometry AdS3 x S3 x T4 in type IIB supergravity. We explicitly construct the Killing spinors and the fermionic T-duality isometries and show that the geometry is self-dual under a combination of two bosonic AdS3 T-dualities, four fermionic T-dualities and either two additional T-dualities along T4 or two T-dualities along S3. In addition, we show that the presence of a B-field acts as an obstacle to self-duality, a property attributable to S- duality and fermionic T-duality not commuting. Finally, we argue that fermionic T-duality may be extended to CY2 = K3, a setting where we cannot explicitly construct the Killing spinors.

24 pages, references added, changes made to reinforce the point that S-duality and fermionic T-duality generically do not commute, version accepted to JHEP

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Cited by in corpus (15)

• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• One Loop Amplitudes In ABJM
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• 3D supergravity from wrapped M5-branes
• 3D Supergravity from wrapped D3-branes
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Light-like Wilson loops in ABJM and maximal transcendentality
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• SUSY properties of warped AdS${}_3$
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• ABJM amplitudes and WL at finite N
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• 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