Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hagedorn temperature in a decoupled sector of AdS/CFT   We match the Hagedorn/deconfinement temperature of planar N=4 super
Yang-Mills (SYM) on R x S^3 to the Hagedorn temperature of string theory on
AdS_5 x S^5. The match is done in a near-critical region where both gauge
theory and string theory are weakly coupled. On the gauge theory side we are
taking a decoupling limit found in hep-th/0605234 in which the physics of
planar N=4 SYM is given exactly by the ferromagnetic XXX_{1/2} Heisenberg spin
chain. We find moreover a general relation between the Hagedorn/deconfinement
temperature and the thermodynamics of the Heisenberg spin chain. On the string
theory side, we identify the dual limit which is taken of string theory on a
maximally symmetric pp-wave background with a flat direction, obtained from a
Penrose limit of AdS_5 x S^5. We compute the Hagedorn temperature of the string
theory and find agreement with the Hagedorn/deconfinement temperature computed
on the gauge theory side. Finally, we discuss a modified decoupling limit in
which planar N=4 SYM reduces to the XXX_{1/2} Heisenberg spin chain with an
external magnetic field.

2
The categories of this paper are: math
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph