Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity

Abstract

We show that the string backgrounds AdS2 x S2 x T6 and AdSd x Sd x Sd x T{10 - 3d} (d = 2, 3) are self-dual under a series of bosonic and fermionic T-dualities. We do this using the fermionic Buscher rules derived by Berkovits and Maldacena, thus working at the level of the supergravity fields. This allows us to explicitly track the behaviour of the RR fields, from which we see that we need T-duality along some torus directions. For the AdS x S x S cases, which contain cosets of D(2,1;alpha), it is necessary to perform bosonic T-duality along some complexified Killing spinors in one of the spheres.

17 pages. v2 changes a few words and adds a reference, to match journal version

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• Massless sector of AdS_3 superstrings: a geometric interpretation
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Non-abelian fermionic T-duality in supergravity
• Dual conformal transformations of smooth holographic Wilson loops
• Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k
• Geometry of Massless Scattering in Integrable Superstring
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory