Abstract
AbstractWe review the recently found map that takes any static and neutral Kaluza‐Klein black hole, i.e. any static and neutral black hole on Minkowski‐space times a circle ℳ︁d × S1, and maps it to a corresponding solution for a non‐ and near‐extremal brane on a circle. This gives a precise connection between phases of Kaluza‐Klein black holes and the thermodynamic behavior of the non‐gravitational theories dual to near‐extremal branes on a circle. In particular, for the thermodynamics of strongly‐coupled supersymmetric Yang‐Mills theories on a circle we predict the existence of a new non‐uniform phase and find new information about the localized phase. We also find evidence for the existence of a new stable phase of (2,0) Little String Theory in the canonical ensemble for temperatures above its Hagedorn temperature.
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