Remarks on Thermal Strings outside Black Holes

Abstract

We discuss the semiclassical approximation to the level density of (super) strings propagating in non-compact coset manifolds $G/H$. We show that the WKB ansatz agrees with heuristic red-shift arguments with respect to the ``exact" sigma model metric, up to some deviations from minimal coupling, parametrized by the dilaton. This approximation is used to study thermal ensembles of free strings in black holes, with the ``brick wall" regularization of `t Hooft. In two dimensions the entropy diverges logarithmically with the horizon thickness, and a local Hagedorn transition occurs in higher dimensional models. We also observe that supersymmetry improves the regularity of strings at the horizon.

13 pages, PUPT-94-1478

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• On Geometric Entropy
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• A Comment on Entropy and Area
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• Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
• Extensivity Versus Holography in Anti-de Sitter Spaces
• Degrees of freedom in two dimensional string theory
• Deconstructing the Little Hagedorn Holography
• Revisiting noninteracting string partition functions in Rindler space
• String Theory in Polar Coordinates and the Vanishing of the One-Loop Rindler Entropy