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Cardy-like asymptotics of the 4d N=4 index and AdS(5) blackholes
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Inst Res Fundamental Sci IPM, Sch Phys, POB 19395-5531, Tehran, Iran.
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 6, article id 134Article in journal (Refereed) Published
Abstract [en]

Choi, Kim, Kim, and Nahmgoong have recently pioneered analyzing a Cardy-like limit of the superconformal index of the 4d N=4 theory with complexified fugacities which encodes the entropy of the dual supersymmetric AdS(5) blackholes. Here we study the Cardy-like asymptotics of the index within the rigorous framework of elliptic hypergeometric integrals, thereby filling a gap in their derivation of the blackhole entropy function, finding a new blackhole saddle-point, and demonstrating novel bifurcation phenomena in the asymptotics of the index as a function of fugacity phases. We also comment on the relevance of the supersymmetric Casimir energy to the blackhole entropy function in the present context.

Place, publisher, year, edition, pages
SPRINGER , 2019. no 6, article id 134
Keywords [en]
AdS-CFT Correspondence, Black Holes in String Theory, Supersymmetric Gauge Theory
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Identifiers
URN: urn:nbn:se:uu:diva-390816DOI: 10.1007/JHEP06(2019)134ISI: 000473145800001OAI: oai:DiVA.org:uu-390816DiVA, id: diva2:1343497
Funder
Knut and Alice Wallenberg Foundation, KAW 2015.0083Available from: 2019-08-16 Created: 2019-08-16 Last updated: 2019-08-16Bibliographically approved

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