Large AdS black holes from QFT
Abstract
We study the index of $\mathcal{N}=4$ YangMills theory on $S^3\times\mathbb{R}$ 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 $S^3$. The index sets a lower bound on the entropy. It saturates the BekensteinHawking entropy of known supersymmetric AdS$_5$ black holes, thus accounting for their microstates. We further analyze the socalled Macdonald index, exploring small black holes and possibly new black holes reminiscent of hairy black holes. Finally, we study aspects of large supersymmetric AdS$_7$ black holes, using background field method on $S^5$ and 't Hooft anomalies.
 Publication:

arXiv eprints
 Pub Date:
 October 2018
 arXiv:
 arXiv:1810.12067
 Bibcode:
 2018arXiv181012067C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 54 pages, 10 figures