Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comments on deconfinement in AdS/CFT   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.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph