New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

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9 pages, Proceedings for RTN Workshop in Kolymbari, Crete, September 5-10, 2004, and 37th International Symposium Ahrenshoop,

Scientific paper

10.1002/prop.200510215

We 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 M^d x S^1, 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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