The free energy of N=2 supersymmetric AdS_4 solutions of M-theory

Abstract

We show that general N=2 supersymmetric AdS_4 solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconformal field theory on S^3 and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact volumes. In particular, this leads to topological and localization formulae for the coefficient of N^{3/2} in the free energy of such solutions.

17 pages; v2: typos fixed and references added

References in corpus (10)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Notes on SUSY Gauge Theories on Three-Sphere
• Generalised Geometry for M-Theory
• Sasaki-Einstein Manifolds and Volume Minimisation
• Generalized Geometry and M theory
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Obstructions to the Existence of Sasaki-Einstein Metrics
• The central charge of supersymmetric AdS_5 solutions of type IIB supergravity

Cited by in corpus (20)

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• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
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• The supersymmetric NUTs and bolts of holography
• F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
• The SU(3)-invariant sector of new maximal supergravity
• F-theory and AdS_3/CFT_2 (2,0)
• N=2 supersymmetric AdS_4 solutions of M-theory
• The Gravity Dual of Supersymmetric Renyi Entropy
• The F-Theorem and F-Maximization
• Electric/magnetic duality and RG flows in AdS4/CFT3
• Equivariant localization and holography
• Comments on a-maximization from gauged supergravity
• Sphere correlation functions and Verma modules
• Holography of Wrapped M5-branes and Chern-Simons theory
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• M2-branes and plane partitions
• Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
• Klebanov-Witten flows in M-theory
• Flux Backgrounds and Exceptional Generalised Geometry