2017/12/31 by Chiara Toldo, Brian Willett · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep05(2018)116
typos in eqs 5.51 and subsequent fixed, conclusions unaltered
arxiv created 2018/10/02 · arxiv updated 2018/10/03
The partition function of a three-dimensional N =2 theory on the manifold Mg,p, an S1 bundle of degree p over a closed Riemann surface Σg, was recently computed via supersymmetric localization. In this paper, we compute these partition functions at large N in a class of quiver gauge theories with holographic M-theory duals. We provide the supergravity bulk dual having as conformal boundary such three-dimensional circle bundles. These configurations are solutions to N=2 minimal gauged supergravity and pertain to the class of Taub-NUT-AdS and Taub-Bolt-AdS preserving 1/4 of the supersymmetries. We discuss the conditions for the uplift of these solutions to M-theory, and compute the on-shell action via holographic renormalization. We show that the uplift condition and on-shell action for the Bolt solutions are correctly reproduced by the large N limit of the partition function of the dual superconformal field theory. In particular, the Σg × S1 ≅ Mg,0 partition function, which was recently shown to match the entropy of AdS4 black holes, and the S3 ≅ M0,1 free energy, occur as special cases of our formalism, and we comment on relations between them.