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arXiv · 2107.05086

Compactified holographic conformal order

Alex Buchel
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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 $AdS_5$ 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.

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Alex Buchel. 2021-07-11. Compactified holographic conformal order. https://doi.org/10.1016/j.nuclphysb.2021.115605

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