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Bekenstein-Hawking entropy as topological entanglement entropy

Author(s): McGough, Lauren; Verlinde, Herman L.

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Abstract: 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.
Publication Date: 28-Nov-2013
Electronic Publication Date: 28-Nov-2013
Citation: McGough, Lauren, Verlinde, Herman. (2013). Bekenstein-Hawking entropy as topological entanglement entropy. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP11(2013)208
DOI: doi:10.1007/JHEP11(2013)208
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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