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arXiv · 1904.03455

A 4d N=1 Cardy Formula

Joonho Kim·Seok Kim·Jaewon Song
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Abstract

We study the asymptotic behavior of the (modified) superconformal index for 4d $\mathcal{N} = 1$ 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 $\mathcal{N} = 1$ theories that are dual to AdS$_5 \times Y^{p, p}$ and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.

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Joonho Kim, Seok Kim, Jaewon Song. 2019-04-06. A 4d N=1 Cardy Formula. https://doi.org/10.1007/jhep01(2021)025

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