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Selected Honorable Mention EssaysNo Access

ENTANGLEMENT ENTROPY FROM SURFACE TERMS IN GENERAL RELATIVITY

ARPAN BHATTACHARYYA

Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India

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and

Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India

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https://doi.org/10.1142/S0218271813420200Cited by:4 (Source: Crossref)

Abstract

Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighborhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. In particular, we demonstrate that for 1 + 1-dimensional (1 + 1d) conformal field theories (CFTs) at finite temperature whose gravity dual is Banados–Teitelboim–Zanelli (BTZ) black hole, the Gibbons–Hawking–York term precisely reproduces the entanglement entropy which can be computed independently in the field theory.

This essay received an honorable mention in the 2013 Essay Competition of the Gravity Research Foundation.

Keywords:

PACS: 11.25.Tq

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Journal cover image

Vol. 22, No. 12

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History

Received 16 May 2013

Revised 23 August 2013

Accepted 9 September 2013

Published: 1 October 2013

Keywords