Comments on deconfinement in AdS/CFT
| Autor: | Choi, Sunjin, Kim, Joonho, Kim, Seok, Nahmgoong, June |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 18 pages, 3 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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