On holographic defect entropy
On holographic defect entropy
We study a number of (3 + 1)- and (2 + 1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using holography, we compute the entanglement entropy of a (hemi-)spherical region centered on the defect (boundary). We define defect and boundary entropies from the entanglement entropy by an appropriate background subtraction. For some (3 + 1)-dimensional theories we find evidence that the defect/boundary entropy changes monotonically under certain renormalization group flows triggered by operators localized at the defect or boundary. This provides evidence that the g-theorem of (1 + 1)-dimensional field theories generalizes to higher dimensions.
1-47
Estes, John
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Jensen, Kristan
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O'Bannon, Andy
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Tsatis, Efstratios
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Wrase, Timm
217a87ad-663b-4c05-a8c5-402f7be9628f
19 May 2014
Estes, John
14bfd492-99c3-492c-80e0-ffac5d26b363
Jensen, Kristan
1aa6bec5-5b04-4014-b008-ace89ed2884c
O'Bannon, Andy
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Tsatis, Efstratios
b9b9f979-ee09-4b45-a99a-019f9c4087d3
Wrase, Timm
217a87ad-663b-4c05-a8c5-402f7be9628f
Estes, John, Jensen, Kristan, O'Bannon, Andy, Tsatis, Efstratios and Wrase, Timm
(2014)
On holographic defect entropy.
Journal of High Energy Physics, 2014 (84), .
(doi:10.1007/JHEP05(2014)084).
Abstract
We study a number of (3 + 1)- and (2 + 1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using holography, we compute the entanglement entropy of a (hemi-)spherical region centered on the defect (boundary). We define defect and boundary entropies from the entanglement entropy by an appropriate background subtraction. For some (3 + 1)-dimensional theories we find evidence that the defect/boundary entropy changes monotonically under certain renormalization group flows triggered by operators localized at the defect or boundary. This provides evidence that the g-theorem of (1 + 1)-dimensional field theories generalizes to higher dimensions.
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art_10.1007_JHEP05(2014)084.pdf
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Accepted/In Press date: 23 April 2014
Published date: 19 May 2014
Organisations:
Theoretical Partical Physics Group
Identifiers
Local EPrints ID: 402041
URI: http://eprints.soton.ac.uk/id/eprint/402041
PURE UUID: 61aef549-0751-4a54-be35-ad2474b1f3cf
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Date deposited: 27 Oct 2016 08:57
Last modified: 15 Mar 2024 03:04
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Author:
John Estes
Author:
Kristan Jensen
Author:
Efstratios Tsatis
Author:
Timm Wrase
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