Precision microstate counting for the entropy of wrapped M5-branes

Gang, Dongmin; Kim, Nakwoo; Pando Zayas, Leopoldo A.

doi:10.1007/jhep03(2020)164

Title: Precision microstate counting for the entropy of wrapped M5-branes

Journal Article · Fri Mar 27 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2020)164· OSTI ID:1657075

Gang, Dongmin ^[1]; Kim, Nakwoo ^[2];

^[3]

Korea Institute for Advanced Study, Seoul (Korea)
Kyung Hee University, Seoul (Korea); Korea Institute for Advanced Study, Seoul (Korea)
University of Michigan, Ann Arbor, MI (United States); The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)

We study the large N expansion of twisted partition functions of 3d N = 2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3- manifold, M₃. Via the 3d-3d correspondence, the partition functions of these 3d N = 2 superconformal field theories are related to simple topological invariants on the 3-manifold. The partition functions can be expressed using only classical and one-loop perturbative invariants of PSL(N, C) Chern-Simons theory around irreducible flat connections on M₃. Using mathematical results on the asymptotics of the invariants, we compute the twisted partition functions in the large N limit including perturbative corrections to all orders in 1/N . Surprisingly, the perturbative expansion terminates at finite order. The leading part of the partition function is of order N³ and agrees with the Bekenstein-Hawking entropy of the dual black holes. The subleading part, in particular the log N -terms in the field theory partition function is found to precisely match the one-loop quantum corrections in the dual eleven dimensional supergravity. The field theory results of other terms in 1/N provide a stringent prediction for higher order corrections in the holographic dual, which is M-theory.

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Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Research Foundation of Korea (NRF)

Grant/Contract Number:: SC0007859; 2018R1D1A1B07045414

OSTI ID:: 1657075

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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