Partition functions on 3d circle bundles and their gravity duals
Abstract The partition function of a three-dimensional N=2 $$ \mathcal{N}=2 $$ theory on the manifold ℳ g,p , an S 1 bundle of degree p over a closed Riemann surface Σ g , was recently computed via supersymmetric localization. In this paper, we compute these partition functions at large N in a class...
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doaj-bf5cce35416e4b97a942a06431da92e52020-11-25T00:37:35ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018516810.1007/JHEP05(2018)116Partition functions on 3d circle bundles and their gravity dualsChiara Toldo0Brian Willett1Columbia University in the City of New York, Pupin HallKavli Institute for Theoretical Physics, University of CaliforniaAbstract The partition function of a three-dimensional N=2 $$ \mathcal{N}=2 $$ theory on the manifold ℳ g,p , an S 1 bundle of degree p over a closed Riemann surface Σ g , 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 $$ \mathcal{N}=2 $$ 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 Σ g × S 1 = ℳ g,0 partition function, which was recently shown to match the entropy of AdS4 black holes, and the S 3 ≅ ℳ0,1 free energy, occur as special cases of our formalism, and we comment on relations between them.http://link.springer.com/article/10.1007/JHEP05(2018)116AdS-CFT CorrespondenceSupergravity ModelsSupersymmetric Gauge Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chiara Toldo Brian Willett |
spellingShingle |
Chiara Toldo Brian Willett Partition functions on 3d circle bundles and their gravity duals Journal of High Energy Physics AdS-CFT Correspondence Supergravity Models Supersymmetric Gauge Theory |
author_facet |
Chiara Toldo Brian Willett |
author_sort |
Chiara Toldo |
title |
Partition functions on 3d circle bundles and their gravity duals |
title_short |
Partition functions on 3d circle bundles and their gravity duals |
title_full |
Partition functions on 3d circle bundles and their gravity duals |
title_fullStr |
Partition functions on 3d circle bundles and their gravity duals |
title_full_unstemmed |
Partition functions on 3d circle bundles and their gravity duals |
title_sort |
partition functions on 3d circle bundles and their gravity duals |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-05-01 |
description |
Abstract The partition function of a three-dimensional N=2 $$ \mathcal{N}=2 $$ theory on the manifold ℳ g,p , an S 1 bundle of degree p over a closed Riemann surface Σ g , 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 $$ \mathcal{N}=2 $$ 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 Σ g × S 1 = ℳ g,0 partition function, which was recently shown to match the entropy of AdS4 black holes, and the S 3 ≅ ℳ0,1 free energy, occur as special cases of our formalism, and we comment on relations between them. |
topic |
AdS-CFT Correspondence Supergravity Models Supersymmetric Gauge Theory |
url |
http://link.springer.com/article/10.1007/JHEP05(2018)116 |
work_keys_str_mv |
AT chiaratoldo partitionfunctionson3dcirclebundlesandtheirgravityduals AT brianwillett partitionfunctionson3dcirclebundlesandtheirgravityduals |
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