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arXiv · 1107.5035

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

Maxime Gabella·Dario Martelli·Achilleas Passias·James Sparks
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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.

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Maxime Gabella, Dario Martelli, Achilleas Passias, James Sparks. 2011-07-29. The free energy of N=2 supersymmetric AdS_4 solutions of M-theory. https://doi.org/10.1007/jhep10(2011)039

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