Thermal order in holographic CFTs and no-hair theorem violation in black branes

TL;DR

This paper explores holographic models where thermal phases of boundary CFTs exhibit spontaneous symmetry breaking, and their dual black branes in AdS violate the no-hair theorem, revealing novel gravitational phenomena.

Contribution

It introduces a broad class of holographic models with symmetry-breaking thermal phases and demonstrates black branes violating the no-hair theorem in AdS.

Findings

Black branes violate the no-hair theorem.

Thermal phases exhibit spontaneous symmetry breaking.

New gravitational phenomena in holography.

Abstract

We present a large class of holographic models where the boundary ${\mathbb R}^{2,1}$ dimensional conformal field theory has a thermal phase with a spontaneously broken global symmetry. The dual black branes in a Poincare patch of asymptotically $AdS_4$ violate the no-hair theorem.