Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermal Equilibrium in String Theory in the Hagedorn Phase   In string theory, a thermal state is described by compactifying Euclidean
time on a thermal circle $S^{1}_{\beta}$, of fixed circumference. However, this
circumference is a dynamical field which could vary in space, therefore thermal
equilibrium is not guaranteed. We discuss a thermal state of type II string
theory near and above the Hagedorn temperature and show that the circumference
of the thermal circle can indeed be fixed and stabilized in the presence of a
uniform isotropic flux. We solve the equations of motion derived from an action
that reproduces the tree-level string S-matrix. We find solutions with the
topologies of $S^{1}_{\beta}\times S^2 \times {\cal M}^{d-2}$ at a fixed
temperature, which include a space-filling winding-mode condensate and a
uniform Neveu-Schwarz Neveu-Schwarz flux supported on $S^1 _{\beta}\times S^2$.
The solutions that we find have either a linear dilaton or a constant dilaton,
in which case, we find solutions with either a cosmological constant or a
Ramond-Ramond flux. We then compare our solutions to the cigar and cylinder
backgrounds associated with the $SL(2,R)/U(1)$ coset theory, which include a
winding-mode condensate but without flux. We also compare and contrast our
solutions with the non-uniform Horowitz-Polchinski solution, which also
possesses a winding-mode condensate and is characterized by an approximate
thermal equilibrium near the Hagedorn temperature.

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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
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The categories of this paper are: cs
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
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The categories of this paper are: math