Wilson surface central charge from holographic entanglement entropy
Wilson surface central charge from holographic entanglement entropy
We use entanglement entropy to define a central charge associated to a two-dimensional defect or boundary in a conformal field theory (CFT). We present holographic calculations of this central charge for several maximally supersymmetric CFTs dual to eleven-dimensional supergravity in Anti-de Sitter space, namely the M5-brane theory with a Wilson surface defect and three-dimensional CFTs related to the M2-brane theory with a boundary. Our results for the central charge depend on a partition of the number of M2-branes, N, ending on the number of M5-branes, M. For the Wilson surface, the partition specifies a representation of the gauge algebra, and we write our result for the central charge in a compact form in terms of the algebra's Weyl vector and the representation's highest weight vector. We explore how the central charge scales with N and M for some examples of partitions. In general the central charge does not scale as M^3 or N^3/2, the number of degrees of freedom of the M5- or M2-brane theory at large M or N, respectively.
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Estes, John
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Krym, Darya
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O'Bannon, Andrew
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Robinson, Brandon
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Rodgers, Ronnie
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Estes, John
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Krym, Darya
9e0a8f99-0f87-411a-97f6-efb17c8a8614
O'Bannon, Andrew
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Robinson, Brandon
56901315-b500-40af-9f3b-1b8cbbdfaffb
Rodgers, Ronnie
50624100-db56-478e-9b46-0db869df1020
Estes, John, Krym, Darya, O'Bannon, Andrew, Robinson, Brandon and Rodgers, Ronnie
(2019)
Wilson surface central charge from holographic entanglement entropy.
The Journal of High Energy Physics, 2019 (32), .
(doi:10.1007/JHEP05(2019)032).
Abstract
We use entanglement entropy to define a central charge associated to a two-dimensional defect or boundary in a conformal field theory (CFT). We present holographic calculations of this central charge for several maximally supersymmetric CFTs dual to eleven-dimensional supergravity in Anti-de Sitter space, namely the M5-brane theory with a Wilson surface defect and three-dimensional CFTs related to the M2-brane theory with a boundary. Our results for the central charge depend on a partition of the number of M2-branes, N, ending on the number of M5-branes, M. For the Wilson surface, the partition specifies a representation of the gauge algebra, and we write our result for the central charge in a compact form in terms of the algebra's Weyl vector and the representation's highest weight vector. We explore how the central charge scales with N and M for some examples of partitions. In general the central charge does not scale as M^3 or N^3/2, the number of degrees of freedom of the M5- or M2-brane theory at large M or N, respectively.
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Estes 2019 Article Wilson Surface Central Charge From
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Accepted/In Press date: 24 April 2019
e-pub ahead of print date: 6 May 2019
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Local EPrints ID: 430894
URI: http://eprints.soton.ac.uk/id/eprint/430894
ISSN: 1029-8479
PURE UUID: 006ad78a-117b-444b-9545-534d22b89583
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Date deposited: 17 May 2019 16:30
Last modified: 16 Mar 2024 01:50
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Author:
John Estes
Author:
Darya Krym
Author:
Brandon Robinson
Author:
Ronnie Rodgers
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