A 4d $$ \mathcal{N} $$ = 1 Cardy Formula
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Abstract We study the asymptotic behavior of the (modified) superconformal index for 4d $$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ N = 1 theories that are dual to AdS5 × Yp,p and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.
1967 ◽
Vol 92
(1)
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pp. 227-243
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1970 ◽
Vol 3
(12)
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pp. 2516-2516
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1980 ◽
Vol 13
(20)
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pp. 4008-4008
Keyword(s):
1980 ◽
Vol 13
(5)
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pp. 837-844
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1998 ◽
Vol 94
(17)
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pp. 2541-2547
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