Compactified holographic conformal order

Abstract

We study holographic conformal order compactified on $S^3$. The corresponding boundary CFT${}_4$ has a thermal phase with a nonzero expectation value of a certain operator. The gravitational dual to the ordered phase is represented by a black hole in asymptotically $Ad{S}_5$ that violates the no-hair theorem. While the compactification does not destroy the ordered phase, it does not cure its perturbative instability: we identify the scalar channel QNM of the hairy black hole with Im$[w]>0$. On the contrary, we argue that the disordered thermal phase of the boundary CFT is perturbatively stable in holographic models of Einstein gravity and scalars.

26 pages, 9 figures; v2: typo in (2.15) corrected [thanks to NPB Referee!]

References in corpus (8)

• The black hole in the throat - thermodynamics of strongly coupled cascading gauge theories
• Thermodynamics of the N=2^* strongly coupled plasma
• Thermal Order in Conformal Theories
• A model of persistent breaking of discrete symmetry
• The fate of the conformal order
• Thermal order in large N conformal gauge theories
• SUGRA/Strings like to be bald
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Cited by in corpus (3)

• A model of persistent breaking of discrete symmetry
• A model of persistent breaking of continuous symmetry
• Spontaneous breaking of finite group symmetries at all temperatures