Universality of small black hole instability in AdS/CFT

作者：Buchel Alex^*

来源：International Journal of Modern Physics D, 2017, 26(13): 1750140.

DOI：10.1142/S0218271817501401

• AdS/CFT
• black holes
• Gregory-Laflamme instability

AdS(5) Type IIb supergravity compactifications on five-dimensional Einstein manifolds V-5 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) AdS(5), they are expected to suffer Gregory-Laflamme instability with respect to localization on V-5. Previously, the instability was demonstrated for gravitational dual of N = 4 SYM, where V-5 = S-5. We extend stability analysis to arbitrary V-5. We point out that the quasinormal mode equation governing the instabilities is universal. The precise onset of the instability is V-5-sensitive, as it is governed by the lowest nonvanishing eigenvalue lambda(min) of its Laplacian.

• 出版日期2017-11