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AdS Solutions Through Transgression

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arxiv 0807.4375 v2 pith:TO252NUP submitted 2008-07-28 hep-th

Aristomenis Donos , Jerome P. Gauntlett , Nakwoo Kim This is my paper
classification hep-th
keywords solutionsfluxsupergravitytypeclassesnon-vanishingconstructdual
verification ladder T0 review T1 audit T2 compute T3 formal
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We present new classes of explicit supersymmetric AdS_3 solutions of type IIB supergravity with non-vanishing five-form flux and AdS_2 solutions of D=11 supergravity with electric four-form flux. The former are dual to two-dimensional SCFTs with (0,2) supersymmetry and the latter to supersymmetric quantum mechanics with two supercharges. We also investigate more general classes of AdS_3 solutions of type IIB supergravity and AdS_2 solutions of D=11 supergravity which in addition have non-vanishing three-form flux and magnetic four-form flux, respectively. The construction of these more general solutions makes essential use of the Chern-Simons or "transgression" terms in the Bianchi identity or the equation of motion of the field strengths in the supergravity theories. We construct infinite new classes of explicit examples and for some of the type IIB solutions determine the central charge of the dual SCFTs. The type IIB solutions with non-vanishing three-form flux that we construct include a two-torus, and after two T-dualities and an S-duality, we obtain new AdS_3 solutions with only the NS fields being non-trivial.

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Cited by 2 Pith papers

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