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

TL;DR

This paper explores the relationship between Kaluza-Klein black holes and non-gravitational theories, predicting new phases in supersymmetric Yang-Mills theories and Little String Theory based on a recent mapping.

Contribution

It introduces a precise map connecting Kaluza-Klein black hole phases to the thermodynamics of dual non-gravitational theories, revealing new phases and stability properties.

Findings

Prediction of a new non-uniform phase in supersymmetric Yang-Mills theories.

Identification of a new stable phase of Little String Theory above Hagedorn temperature.

Evidence for localized phases in the thermodynamics of these theories.

Abstract

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.