期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2013)208
关键词
Black Holes; Topological States of Matter; Gauge-gravity correspondence
资金
- NSF [PHY-0756966]
- National Science Foundation [DGE 1148900]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1314198, 0756966] Funding Source: National Science Foundation
Black holes in 2+1 dimensions enjoy long range topological interactions similar to those of non-abelian anyon excitations in a topologically ordered medium. Using this observation, we compute the topological entanglement entropy of BTZ black holes via the established formula S-top = log(S-0(a)), with S-b(a) the modular S-matrix of the Virasoro characters chi(a)(tau). We find a precise match with the Bekenstein-Hawking entropy. This result adds a new twist to the relationship between quantum entanglement and the interior geometry of black holes. We generalize our result to higher spin black holes, and again find a detailed match. We comment on a possible alternative interpretation of our result in terms of boundary entropy.
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