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arXiv · hep-th/0510125

Supersymmetric AdS_5 Solutions of Type IIB Supergravity

Jerome P. Gauntlett·Dario Martelli·James Sparks·Daniel Waldram
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Abstract

We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space AdS_5 with a five-dimensional Riemannian manifold M_5. All fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. We show that the necessary and sufficient conditions can be phrased in terms of a local identity structure on M_5. For a special class, with constant dilaton and vanishing axion, we reduce the problem to solving a second order non-linear ODE. We find an exact solution of the ODE which reproduces a solution first found by Pilch and Warner. A numerical analysis of the ODE reveals an additional class of local solutions.

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Jerome P. Gauntlett, Dario Martelli, James Sparks, Daniel Waldram. 2005-10-17. Supersymmetric AdS_5 Solutions of Type IIB Supergravity. https://doi.org/10.1088/0264-9381%2F23%2F14%2F009

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