Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-05
JHEP 0712:020,2007
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 5 figures, JHEP3 format. v2: added references, minor corrections and clarifications
Scientific paper
10.1088/1126-6708/2007/12/020
We study the thermal physics of AdS(3) and the BTZ black hole when embedded in String theory. The exact calculation of the Hagedorn temperature in TAdS(3) is reinterpreted as the appearance of a winding tachyon both in AdS(3) and BTZ. We construct a dual framework for analyzing the phases of the system. In this dual framework, tachyon condensation and geometric capping appear on the same footing, bridging the usual gap of connecting tachyon condensation to modifications of geometry. This allows us to construct in a natural way a candidate for the unstable phase, analogous to a small black hole in higher dimensions. Additional peculiar effects associated with the Hagedorn temperature and the Hawking-Page transition, some to do with the asymptotic structure of AdS(3) and some with strong curvature effects, are analyzed and explained.
Berkooz Micha
Komargodski Zohar
Reichmann Dori
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