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Supersymmetric AdS_5 solutions of M-theory

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arxiv hep-th/0402153 v2 pith:WHN5OV4O submitted 2004-02-19 hep-th math.DG

Jerome P. Gauntlett , Dario Martelli , James Sparks , Daniel Waldram This is my paper · ORCID
classification hep-thmath.DG
keywords solutionsspacefamilyfive-dimensionalfour-dimensionalgeneralproductriemannian
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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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