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Complexity Equals Anything?
We present a new infinite class of gravitational observables in asymptotically Anti-de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. We show that these observables display universal features for the thermofield-double stat...
Autores principales: | , , , , |
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Lenguaje: | eng |
Publicado: |
2021
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1103/PhysRevLett.128.081602 http://cds.cern.ch/record/2789764 |
_version_ | 1780972202992074752 |
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author | Belin, Alexandre Myers, Robert C. Ruan, Shan-Ming Sárosi, Gábor Speranza, Antony J. |
author_facet | Belin, Alexandre Myers, Robert C. Ruan, Shan-Ming Sárosi, Gábor Speranza, Antony J. |
author_sort | Belin, Alexandre |
collection | CERN |
description | We present a new infinite class of gravitational observables in asymptotically Anti-de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. We show that these observables display universal features for the thermofield-double state: they grow linearly in time at late times and reproduce the switch-back effect in shock wave geometries. We argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity. |
id | cern-2789764 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2021 |
record_format | invenio |
spelling | cern-27897642023-10-04T06:39:50Zdoi:10.1103/PhysRevLett.128.081602http://cds.cern.ch/record/2789764engBelin, AlexandreMyers, Robert C.Ruan, Shan-MingSárosi, GáborSperanza, Antony J.Complexity Equals Anything?gr-qcGeneral Relativity and Cosmologyhep-thParticle Physics - TheoryWe present a new infinite class of gravitational observables in asymptotically Anti-de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. We show that these observables display universal features for the thermofield-double state: they grow linearly in time at late times and reproduce the switch-back effect in shock wave geometries. We argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.We present a new infinite class of gravitational observables in asymptotically anti–de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. We show that these observables display universal features for the thermofield-double state: they grow linearly in time at late times and reproduce the switchback effect in shock wave geometries. We argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.arXiv:2111.02429CERN-TH-2021-181YITP-22-02oai:cds.cern.ch:27897642021-11-03 |
spellingShingle | gr-qc General Relativity and Cosmology hep-th Particle Physics - Theory Belin, Alexandre Myers, Robert C. Ruan, Shan-Ming Sárosi, Gábor Speranza, Antony J. Complexity Equals Anything? |
title | Complexity Equals Anything? |
title_full | Complexity Equals Anything? |
title_fullStr | Complexity Equals Anything? |
title_full_unstemmed | Complexity Equals Anything? |
title_short | Complexity Equals Anything? |
title_sort | complexity equals anything? |
topic | gr-qc General Relativity and Cosmology hep-th Particle Physics - Theory |
url | https://dx.doi.org/10.1103/PhysRevLett.128.081602 http://cds.cern.ch/record/2789764 |
work_keys_str_mv | AT belinalexandre complexityequalsanything AT myersrobertc complexityequalsanything AT ruanshanming complexityequalsanything AT sarosigabor complexityequalsanything AT speranzaantonyj complexityequalsanything |