Exotic Hairy Black Holes

TL;DR

This paper explores novel black hole solutions with scalar hair in AdS_4 spacetime, revealing complex phase structures including high-temperature stable phases with broken symmetries, interpreted as thermal states of a dual conformal gauge theory.

Contribution

It uncovers a rich phase diagram of hairy black holes, including stable high-temperature phases with spontaneous symmetry breaking, which were previously unknown.

Findings

Existence of thermodynamically stable hairy black hole phases at high temperatures

Discovery of a second-order phase transition connecting symmetric and broken phases

Rich phase structure indicating complex thermodynamic behavior in AdS/CFT context

Abstract

We study black hole solutions in asymptotically AdS_4 spacetime with scalar hair. Following AdS/CFT dictionary these black holes can be interpreted as thermal states of 2+1 dimensional conformal gauge theory plasma, deformed by a relevant operator. We discover a rich phase structure of the solutions. Surprisingly, we find thermodynamically stable phases with spontaneously broken global symmetries that exist only at high temperatures. These phases are metastable, and join the stable symmetric phase via a mean-field second-order phase transition.