Gauge theory duals of black hole - black string transitions of gravitational theories on a circle

TL;DR

This paper investigates the phase transitions between black holes and black strings in gravitational theories on a circle by using holographic duality, focusing on strongly coupled 1+1D supersymmetric Yang-Mills theories and lattice methods.

Contribution

It provides the first lattice-based, strongly coupled gauge theory analysis of black hole - black string phase transitions via holographic duality.

Findings

Polyakov line as an order parameter for phase transition

Lattice calculations of strongly coupled gauge theories

Insights into gravitational phase transitions from gauge theory

Abstract

We study the black hole - black string phase transitions of gravitational theories compactified on a circle using the holographic duality conjecture. The gauge theory duals of these theories are maximally supersymmetric and strongly coupled 1 + 1 dimensional SU(N) Yang-Mills theories compactified on a circle, in the large $N$ limit. We perform the strongly coupled finite temperature gauge theory calculations on a lattice, using the recently developed exact lattice supersymmetry methods based on topological twisting and orbifolding. The spatial Polyakov line serves as relevant order parameter of the confinement - deconfinement phase transitions in the gauge theory duals.