Universality of small black hole instability in AdS/CFT

2015/09/25 by Buchel, Alex
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1509.07780

Abstract

AdS₅ type IIb supergravity compactifications on five-dimensional Einstein manifolds \cal V₅ realize holographic duals to four-dimensional conformal field theories. Black holes in such geometries are dual to thermal states in these CFTs. When black holes become sufficiently small in (global) AdS₅, they are expected to suffer Gregory-Laflamme instability with respect to localization on \cal V₅. Previously, the instability was demonstrated for gravitational dual of \cal N=4 SYM, where \cal V₅=S⁵. We extend stability analysis to arbitrary \cal V₅. We point out that the quasinormal mode equation governing the instabilities is universal. The precise onset of the instability is \cal V₅-sensitive, as it is governed by the lowest non-vanishing eigenvalue λ_min of its Laplacian.

Related

• Small black holes in AdS₅× S⁵
• Supergravity Spectrum of AdS₅ Black Holes
• Universality of non-equilibrium dynamics of CFTs from holography
• The higher dimensional instabilities of AdS in holographic semiclassical gravity
• The Gregory-Laflamme instability