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arXiv 2107.05086hep-th
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紧致全息共形序

Compactified holographic conformal order

Alex Buchel

摘要:

研究了在$S^3$上紧化的全息共形序。相应的边界CFT $ _4$具有热相,该热相具有某个算子的非零期望值。有序相的引力对偶可以用一个在渐近$AdS_5$中的黑洞来表示,它违反了无毛定理。虽然紧化不破坏有序相,它并没有治愈其微扰不稳定性:我们确定的标量通道QNM的毛茸茸的黑洞与Im $[w]>0$。相反,我们认为在爱因斯坦引力和标量的全息模型中,边界CFT的无序热相是微扰稳定的。

英文摘要:

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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