Abstract
We show that general \( \mathcal{N} = 2 \) 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 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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Gabella, M., Martelli, D., Passias, A. et al. The free energy of \( \mathcal{N} = 2 \) supersymmetric AdS4 solutions of M-theory. J. High Energ. Phys. 2011, 39 (2011). https://doi.org/10.1007/JHEP10(2011)039
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DOI: https://doi.org/10.1007/JHEP10(2011)039