The free energy of N=2 supersymmetric AdS4 solutions of M-theory
Abstract
We show that general N=2 supersymmetric AdS4 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 S3 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 N3/2 in the free energy of such solutions.
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