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A 4d N=1 Cardy Formula

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arxiv 1904.03455 v2 pith:7A4ZGRW3 submitted 2019-04-06 hep-th

A 4d N=1 Cardy Formula

Joonho Kim , Seok Kim , Jaewon Song This is my paper
classification hep-th
keywords findindexasymptoticcardyentropylimitmathcalaccounts
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

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  4. Gravitational index, black hole saddle degeneracy, and one-form symmetry

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