Rotating black hole entropy from M5-branes View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2020-03-10

AUTHORS

Francesco Benini, Dongmin Gang, Leopoldo A. Pando Zayas

ABSTRACT

We compute the superconformal index of 3d N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 2 superconformal field theories obtained from N M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence, we use perturbative invariants of SL(N, ℂ) Chern-Simons theory to determine the superconformal index in the large N limit, including corrections logarithmic in N . The leading order partition function provides a microscopic foundation for the entropy function of the dual rotating asymptotically AdS4 black holes. We also verify that the supergravity one-loop contribution to the log N term coincides with the field theoretic result. We propose a 3d-3d formulation for the refined topologically twisted index, and provide strong evidence in support of its vanishing — which agrees with the fact that the expected dual rotating magnetically-charged black hole does not exist. This provides an interesting link between gravity and a tantalizing mathematical result. More... »

PAGES

57

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  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep03(2020)057

    DOI

    http://dx.doi.org/10.1007/jhep03(2020)057

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    https://app.dimensions.ai/details/publication/pub.1125558891


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