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arXiv · 1811.08646

Comments on deconfinement in AdS/CFT

Sunjin Choi·Joonho Kim·Seok Kim·June Nahmgoong
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Abstract

We study the index of $\mathcal{N}=4$ Yang-Mills theory on $S^3\times\mathbb{R}$. 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 AdS$_5$ dual. We thus expect the existence of new black holes.

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Sunjin Choi, Joonho Kim, Seok Kim, June Nahmgoong. 2018-11-21. Comments on deconfinement in AdS/CFT. https://arxiv.org/abs/1811.08646

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