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arXiv · hep-th/0402153

Supersymmetric AdS_5 solutions of M-theory

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

We analyse the most general supersymmetric solutions of D=11 supergravity consisting of a warped product of five-dimensional anti-de-Sitter space with a six-dimensional Riemannian space M_6, with four-form flux on M_6. We show that M_6 is partly specified by a one-parameter family of four-dimensional Kahler metrics. We find a large family of new explicit regular solutions where M_6 is a compact, complex manifold which is topologically a two-sphere bundle over a four-dimensional base, where the latter is either (i) Kahler-Einstein with positive curvature, or (ii) a product of two constant-curvature Riemann surfaces. After dimensional reduction and T-duality, some solutions in the second class are related to a new family of Sasaki-Einstein spaces which includes T^{1,1}/Z_2. Our general analysis also covers warped products of five-dimensional Minkowski space with a six-dimensional Riemannian space.

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Jerome P. Gauntlett, Dario Martelli, James Sparks, Daniel Waldram. 2004-04-19. Supersymmetric AdS_5 solutions of M-theory. https://doi.org/10.1088/0264-9381%2F21%2F18%2F005

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