Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-06-30
Phys.Lett.B339:41-48,1994
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, PUPT-94-1478
Scientific paper
10.1016/0370-2693(94)91130-4
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.
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