A 4d N=1 Cardy Formula

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We study the asymptotic behavior of the (modified) superconformal index for 4d N = 1 gauge theory. By considering complexified chemical potential, we find that the 'high-temperature limit' of the index can be written in terms of the conformal anomalies 3c - 2a. We also find macroscopic entropy from our asymptotic free energy when the Hofman-Maldacena bound 1/2 < a/c < 3/2 for the interacting SCFT is satisfied. We study N = 1 theories that are dual to AdS(5) x Y-p,Y-p and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.
Publisher
SPRINGER
Issue Date
2021-01
Language
English
Article Type
Article
Citation

JOURNAL OF HIGH ENERGY PHYSICS, v.2021, no.1, pp.025

ISSN
1029-8479
DOI
10.1007/jhep01(2021)025
URI
http://hdl.handle.net/10203/280848
Appears in Collection
PH-Journal Papers(저널논문)
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