Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free energy and critical temperature in eleven dimensions   We compute the one-loop contribution to the free energy in eleven-dimensional
supergravity, with the eleventh dimension compactified on a circle of radius
$R_{11}$. We find a finite result, which, in a small radius expansion, has the
form of the type IIA supergravity free energy plus non-perturbative corrections
in the string coupling $g_A$, whose coefficients we determine. We then study
type IIA superstring theory at finite temperature in the strong coupling regime
by considering M-theory on $R^9\times T^2$, one of the sides of the torus being
the euclidean time direction, where fermions obey antiperiodic boundary
conditions. We find that a certain winding membrane state becomes tachyonic
above some critical temperature, which depends on $g_A$. At weak coupling, it
coincides with the Hagedorn temperature, at large coupling it becomes $T_{\rm
cr} \cong 0.31 l_P^ {-1} $ (so it is very small in string units).

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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga