Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proposal of the gauge theory description of the small Schwarzschild
  black hole in AdS$_5\times$S$^5$   Based on 4d ${\cal N}=4$ SYM on $\mathbb{R}^{1}\times$S$^3$, a gauge theory
description of a small black hole in AdS$_5\times$S$^5$ is proposed. The change
of the number of dynamical degrees of freedom associated with the emission of
the scalar fields' eigenvalues plays a crucial role in this description. By
analyzing the microcanonical ensemble, the Hagedorn behavior of long strings at
low energy is obtained. Modulo an assumption based on the AdS/CFT duality for a
large black hole, the energy of the small ten-dimensional Schwarzschild black
hole $E\sim 1/(G_{\rm 10,N}T^7)$ is derived. A heuristic gauge theory argument
supporting this assumption is also given. The same argument applied to the ABJM
theory correctly reproduces the relation for the eleven-dimensional
Schwarzschild black hole. One of the consequences of our proposal is that the
small and large black holes are very similar when seen from the gauge theory
point of view.

4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom