Holography of wrapped M5-branes and Chern–Simons theory

We study three-dimensional superconformal field theories on wrapped M5-branes. Applying the gauge/gravity duality and the recently proposed 3d–3d relation, we deduce quantitative predictions for the perturbative free energy of a Chern–Simons theory on hyperbolic 3-space. Remarkably, the perturbative...

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Published inPhysics letters. B Vol. 733; pp. 316 - 319
Main Authors Gang, Dongmin, Kim, Nakwoo, Lee, Sangmin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 02.06.2014
Subjects
Elementary particles
Field theory
Free energy
Gages
Gravitation
Holography
Mathematical models
Three dimensional
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Summary:We study three-dimensional superconformal field theories on wrapped M5-branes. Applying the gauge/gravity duality and the recently proposed 3d–3d relation, we deduce quantitative predictions for the perturbative free energy of a Chern–Simons theory on hyperbolic 3-space. Remarkably, the perturbative expansion is expected to terminate at two-loops in the large N limit. We check the correspondence numerically in a number of examples, and confirm the N3 scaling with precise coefficients.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2014.04.051