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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Formato: | article |
Lenguaje: | EN |
Publicado: |
Elsevier
2021
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Materias: | |
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. |
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