We show that general N = 2 supersymmetric AdS4 solutions of M-theory ith non-zero M2-brane charge admit a canonical contact structure. The free energy of he dual superconformal field theory on S3 and the scaling dimensions of operators dua to supersymmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact olumes. In particular, this leads to topological and localization formulae for the coefficientf N2/3 the free energy of such solutions.
The free energy of N = 2 supersymmetric AdS4 solutions of M-theory
Martelli D.;
2011-01-01
Abstract
We show that general N = 2 supersymmetric AdS4 solutions of M-theory ith non-zero M2-brane charge admit a canonical contact structure. The free energy of he dual superconformal field theory on S3 and the scaling dimensions of operators dua to supersymmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact olumes. In particular, this leads to topological and localization formulae for the coefficientf N2/3 the free energy of such solutions.
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