Large AdS black holes from QFT

By Sunjin Choi, Joonho Kim, Seok Kim, June Nahmgoong. Journal of the Korean Physical Society, 2018

188 citations recorded by the source corpus.

We study the index of $\mathcal{N}=4$ Yang-Mills 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 Bekenstein-Hawking entropy of known supersymmetric AdS$_5$ 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 AdS$_7$ black holes, using background field method on $S^5$ and 't Hooft anomalies.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a5f736a7a352c42000adf4ed215fed75de1fe82a

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Citations in the corpus

Black Holes in 4D N=4 Super-Yang-Mills Field Theory (2018, background): “It was already discussed in [48], in a double-scaling Cardy-like limit, that the large N limit of the index is completely different for real and complex fugacities, and it was observed in [49] that there exists a deconfinement transition once complex fugacities are taken into account.”
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes (2018, background): “about the IR physics, corresponding to the horizon of the black hole, on the other hand it leads to the intriguing prediction that the large Nasymptotics of the index (as well as the Cardy-like limit [28,29]) are controlled by the generalization of the supersymmetric Casimir energy, which is by deni”