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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...

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Detalles Bibliográficos
Autores principales: Belin, Alexandre, Myers, Robert C., Ruan, Shan-Ming, Sárosi, Gábor, Speranza, Antony J.
Lenguaje:eng
Publicado: 2021
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.128.081602
http://cds.cern.ch/record/2789764
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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