Spontaneous fragmentation of topological black holes
Abstract
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- August 2010
- DOI:
- 10.1007/JHEP08(2010)031
- arXiv:
- arXiv:1005.4439
- Bibcode:
- 2010JHEP...08..031B
- Keywords:
-
- Brane Dynamics in Gauge Theories;
- AdS-CFT Correspondence;
- Black Holes;
- High Energy Physics - Theory
- E-Print:
- 19 pages, 4 figures