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The free energy of N=2 supersymmetric AdS₄ solutions of M-theory

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arxiv 1107.5035 v2 pith:6VYBPI6J submitted 2011-07-25 hep-th

The free energy of N=2 supersymmetric AdS₄ solutions of M-theory

classification hep-th
keywords energyfreesolutionssupersymmetriccontactdualm-theoryadmit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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