Compactified holographic conformal order
arXiv:2107.05086 · doi:10.1016/j.nuclphysb.2021.115605
Abstract
We study holographic conformal order compactified on . The corresponding boundary CFT 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 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. 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.
arXiv comment26 pages, 9 figures; v2: typo in (2.15) corrected [thanks to NPB Referee!]
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