String scale black holes at large $D$

Abstract

We study aspects of black holes near the Hagedorn temperature. The large dimension expansion introduced by Soda, Emparan, Grumiller and Tanabe connects them to the well studied two dimensional black hole based on $SL(2{)}_k/U(1)$. This allows us to explore black holes at string scale temperatures. We argue that the black hole can surpass the Hagedorn temperature, but at a somewhat larger temperature it is likely to turn over to a highly excited string.

arXiv comment20 pages, 3 figures. v2: added references and clarifications

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• Boundary Description of Microstates of the Two-Dimensional Black Hole
• String correlators in AdS${}_3$ from FZZ duality
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• Fluid model of a black hole-string transition
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