A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.
Thermal AdS(3), BTZ and competing winding modes condensation
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abstract
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.
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The one-loop correction to near-extremal quantum entropy in this charged 2D black hole is exponentially suppressed at low temperature but scales as sqrt(beta) when the sl(2,R) level and SL(2,R)-U(1) coupling are tuned, providing a worldsheet realization of the black hole/string transition.
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Circular strings, magnons, plane waves and local quenches in BTZ
A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.
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One-loop effect in the charged 2D black hole near extremality
The one-loop correction to near-extremal quantum entropy in this charged 2D black hole is exponentially suppressed at low temperature but scales as sqrt(beta) when the sl(2,R) level and SL(2,R)-U(1) coupling are tuned, providing a worldsheet realization of the black hole/string transition.