Spontaneous fragmentation of topological black holes

Details Spontaneous fragmentation of topological black holes Spontaneous fragmentation of topological black holes

2010-05-24

arxiv.org/abs/1005.4439v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 figures

Scientific paper

We study the metastability of Anti-de Sitter topological black holes with compact hyperbolic horizons. We focus on the five-dimensional case, an AdS/CFT dual to thermal states in the maximally supersymmetric large-N Yang-Mills theory, quantized on a three-dimensional compact hyperboloid. We estimate the various rates for quantum-statistical D3-brane emission, using WKB methods in the probe-brane approximation, including thermal tunneling and Schwinger pair production. The topological black holes are found to be metastable at high temperature. At low temperatures, D-branes are emitted without exponential suppression in superradiant modes, producing an instability in qualitative agreement with expectations from weakly-coupled gauge dynamics.

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