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20-020 Rotating black hole entropy from M5-branes

최종 수정일: 2020년 5월 14일

Francesco Benini, Dongmin Gang, Leopoldo A. Pando Zayas

Journal of High Energy Physics 03 (2020) 057



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, ) 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.

#publication #paper #Black_Holes_in_String_Theory #Chern-Simons_Theories #Gauge-gravity_correspondence #Models_of_Quantum_Gravity

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· Date: August 20(Thu.), 2020 · Place: Online (ZOOM) & Konkuk Univ., Seoul · Website: https://www.apctp.org/plan.php/snail2020-1 · Overview : The origin of the asymmetry between matter and anti-matter