Superselection sectors of gravitational subregions
Abstract Motivated by the problem of defining the entanglement entropy of the graviton, we study the division of the phase space of general relativity across subregions. Our key requirement is demanding that the separation into subregions is imaginary — i.e., that entangling surfaces are not physica...
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Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)182 |
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doaj-8498d981e7db4e7083eaa495dd231b4b2020-11-24T22:07:24ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019111710.1007/JHEP01(2019)182Superselection sectors of gravitational subregionsJoan Camps0Department of Physics and Astronomy, University College LondonAbstract Motivated by the problem of defining the entanglement entropy of the graviton, we study the division of the phase space of general relativity across subregions. Our key requirement is demanding that the separation into subregions is imaginary — i.e., that entangling surfaces are not physical. This translates into a certain condition on the symplectic form. We find that gravitational subregions that satisfy this condition are bounded by surfaces of extremal area. We characterise the ‘centre variables’ of the phase space of the graviton in such subsystems, which can be taken to be the conformal class of the induced metric in the boundary, subject to a constraint involving the traceless part of the extrinsic curvature. We argue that this condition works to discard local deformations of the boundary surface to infinitesimally nearby extremal surfaces, that are otherwise available for generic codimension-2 extremal surfaces of dimension ≥ 2.http://link.springer.com/article/10.1007/JHEP01(2019)182AdS-CFT CorrespondenceClassical Theories of GravityGauge-gravity correspondence |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Joan Camps |
spellingShingle |
Joan Camps Superselection sectors of gravitational subregions Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity Gauge-gravity correspondence |
author_facet |
Joan Camps |
author_sort |
Joan Camps |
title |
Superselection sectors of gravitational subregions |
title_short |
Superselection sectors of gravitational subregions |
title_full |
Superselection sectors of gravitational subregions |
title_fullStr |
Superselection sectors of gravitational subregions |
title_full_unstemmed |
Superselection sectors of gravitational subregions |
title_sort |
superselection sectors of gravitational subregions |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-01-01 |
description |
Abstract Motivated by the problem of defining the entanglement entropy of the graviton, we study the division of the phase space of general relativity across subregions. Our key requirement is demanding that the separation into subregions is imaginary — i.e., that entangling surfaces are not physical. This translates into a certain condition on the symplectic form. We find that gravitational subregions that satisfy this condition are bounded by surfaces of extremal area. We characterise the ‘centre variables’ of the phase space of the graviton in such subsystems, which can be taken to be the conformal class of the induced metric in the boundary, subject to a constraint involving the traceless part of the extrinsic curvature. We argue that this condition works to discard local deformations of the boundary surface to infinitesimally nearby extremal surfaces, that are otherwise available for generic codimension-2 extremal surfaces of dimension ≥ 2. |
topic |
AdS-CFT Correspondence Classical Theories of Gravity Gauge-gravity correspondence |
url |
http://link.springer.com/article/10.1007/JHEP01(2019)182 |
work_keys_str_mv |
AT joancamps superselectionsectorsofgravitationalsubregions |
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