Compactified holographic conformal order

We study holographic conformal order compactified on S3. The corresponding boundary CFT4 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 AdS5 that violates the no-hair theorem. Wh...

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Autor principal: Alex Buchel
Formato: article
Lenguaje:EN
Publicado: Elsevier 2021
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Acceso en línea:https://doaj.org/article/6b3ed4306c7d48e188b82a20337c844f
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Sumario:We study holographic conformal order compactified on S3. The corresponding boundary CFT4 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 AdS5 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.