Large AdS black holes from QFT

2018/10/29 by Choi, Sunjin, Kim, Joonho, Kim, Seok +1 · 13 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1810.12067

Abstract

We study the index of N=4 Yang-Mills theory on S³×ℝ at large angular momenta. A generalized Cardy limit exhibits macroscopic entropy at large N. Our result is derived using free QFT analysis, and also a background field method on S³. The index sets a lower bound on the entropy. It saturates the Bekenstein-Hawking entropy of known supersymmetric AdS₅ black holes, thus accounting for their microstates. We further analyze the so-called Macdonald index, exploring small black holes and possibly new black holes reminiscent of hairy black holes. Finally, we study aspects of large supersymmetric AdS₇ black holes, using background field method on S⁵ and 't Hooft anomalies.

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