Comments on deconfinement in AdS/CFT

2018/11/21 by Choi, Sunjin, Kim, Joonho, Kim, Seok +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1811.08646

Abstract

We study the index of N=4 Yang-Mills theory on S³×ℝ. We argue that the index should undergo a large N deconfinement phase transition, by computing an upper bound of its `temperature.' We compute this bound by optimizing the phases of fugacities. The bound we find has some features analogous to the Hagedorn temperature. We briefly discuss a possible mechanism of the actual deconfinement transition below our bound. Our upper bound is lower than the Hawking-Page transition `temperature' of known BPS black holes in the AdS₅ dual. We thus expect the existence of new black holes.

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• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS₄ Black Holes

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