Supersymmetric AdS 5 solutions of M-theory

DOI10.1088/0264-9381/21/18/005zbMATH Open1059.83038arXivhep-th/0402153OpenAlexW3100408008MaRDI QIDQ3160367

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Publication date: 9 February 2005

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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.

Full work available at URL: https://arxiv.org/abs/hep-th/0402153

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