期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2020)057
关键词
Black Holes in String Theory; Chern-Simons Theories; Gauge-gravity correspondence; Models of Quantum Gravity
资金
- MIUR-SIR grant [RBSI1471GJ]
- National Research Foundation of Korea Grant NRF [2019R1A2C2004880]
- Korean Local Government, Gyeongsangbuk-do Province
- Korean Local Government, Pohang City
- U.S. Department of Energy [DE-SC0007859]
- National Research Foundation of Korea [00000009] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
We compute the superconformal index of 3d N = 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 AdS(4) 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.
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