Entanglement entropy in top-down models
Entanglement entropy in top-down models
We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduction over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.
1-39
Jones, Peter A.R.
9bc3bcf0-926a-4c79-9c18-8c606df52cec
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
26 August 2016
Jones, Peter A.R.
9bc3bcf0-926a-4c79-9c18-8c606df52cec
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Jones, Peter A.R. and Taylor, Marika
(2016)
Entanglement entropy in top-down models.
Journal of High Energy Physics, 16 (8), , [158].
(doi:10.1007/JHEP08(2016)158).
Abstract
We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduction over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.
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Accepted/In Press date: 16 August 2016
e-pub ahead of print date: 26 August 2016
Published date: 26 August 2016
Organisations:
Applied Mathematics
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Local EPrints ID: 400425
URI: http://eprints.soton.ac.uk/id/eprint/400425
PURE UUID: d1c8ac6c-ec00-4f1c-a677-593ca31e90ff
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Date deposited: 16 Sep 2016 10:17
Last modified: 15 Mar 2024 03:42
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Author:
Peter A.R. Jones
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