Colorful horizons with charge in anti-de Sitter space

TL;DR

This paper explores how non-abelian gauge field condensates can induce spontaneous symmetry breaking near black hole horizons in anti-de Sitter space, revealing a second order phase transition between different black hole solutions.

Contribution

It demonstrates the existence of a phase transition driven by gauge field condensates in AdS black holes, highlighting a new mechanism for symmetry breaking in gravitational backgrounds.

Findings

Second order phase transition identified

Preference shift from Reissner-Nordstrom-AdS to symmetry-breaking solutions at low temperature

Gauge condensates induce spontaneous symmetry breaking near black hole horizons

Abstract

An abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-abelian gauge fields. There is a second order phase transition between Reissner-Nordstrom-anti-de Sitter solutions, which are preferred at high temperatures, and symmetry breaking solutions, which are preferred at low temperatures.