Supersymmetric AdS5 solutions of M-theory

By J. Gauntlett, D. Martelli, J. Sparks, D. Waldram. 2004

397 citations recorded by the source corpus.

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 M6, with 4-form flux on M6. We show that M6 is partly specified by a one-parameter family of four-dimensional Kähler metrics. We find a large family of new explicit regular solutions where M6 is a compact, complex manifold which is topologically a 2-sphere bundle over a four-dimensional base, where the latter is either (i) Kähler–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 . Our general analysis also covers warped products of five-dimensional Minkowski space with a six-dimensional Riemannian space.

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/32d6c83544b0ebd534acae500adebc30c193296e

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Citations in the corpus

Supersymmetric AdS5 solutions of type IIB supergravity (2005, methodology): “The solutions found in [2] led to an infinite number of new explicit Sasaki–Einstein metrics on S2 × S3 called Y [10].”
Fractional branes and dynamical supersymmetry breaking (2005, background): “The Y p,q family Recently an infinite class of Sasaki-Einstein 5d metrics on S(2) × S(3) has been constructed, denoted Y , which can be used to build an infinite class of 6d conical Calabi-Yau geometries [45, 46, 47, 48, 49].”
A New infinite class of Sasaki-Einstein manifolds (2004, methodology): “These were discovered by dualising one of the class of M-theory solutions of [11].”
An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals (2004, background): “Let us also recall that the entire family of solutions explored in this paper has a dual description in M–theory, where it uplifts to supersymmetric AdS5×M6 solutions, with M6 a complex S2 bundle over T 2 × S2 [17].”
Examples of asymptotically conical Ricci-flat Kähler manifolds (2008, background): “IG VAN COEVERING 4. Toric examples 4.1. Toric 3-dimensional examples. Toric Ricci-ﬂat Kahler cones are known in abundance. The ﬁrst examples of non-regular toric Sasaki-Einstein manifolds appeared in [26] with the metrics given explicitly in [25]. As stated in Theorem 2.11 the general existence of S”
Gauged supergravity from type IIB string theory on Yp, q manifolds (2006, methodology): “Although the above results hold in general, much of the interest in this system is due to the availability of explicit Sasaki-Einstein metrics Y p,q that were originally constructed in [26, 27].”
AdS 3 solutions of IIB supergravity from D3-branes (2005, neutral): “Contents”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “The KK truncations to the massless graviton supermultiplets for the class of N = 2 and N = 1 AdS5 solutions of D = 11 supergravity classified in [54] and [55] were presented in [5] and [4], respectively.”
Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions (2007, background): “The analogous result for the most general supersymmetric solutions of D = 11 supergravity of the form AdS5 ×wM6 with non-vanishing four-form flux [16], was shown in [17].”
Sasaki–Einstein Manifolds and Volume Minimisation (2006, background): “The status of Sasaki–Einstein geometry changed considerably with the construction of explicit infinite families of inhomogeneous Sasaki–Einstein metrics in all dimensions [9, 10, 11].”
Gauge theories from toric geometry and brane tilings (2005, background): “p + q, c = p these reduce to the Y p,q family of metrics, which have an enhanced SU(2) isometry [10, 11, 12].”
Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, background): “Some interesting things are: that the solution is non-singular, preserves N = 1 and falls within the class of geometries proposed in [29] (originally found in [32]).”
Brane tilings and their applications (2008, background): “Gauntlett-Martelli-Sparks-Waldrum [29] has shown (motivated from study of supergravity [167]) that we have countably infinite Sasaki-Einstein metrics on S2×S3, which are called Y .”