Non-hermitian holography

Autores
Areán, Daniel; Landsteiner, Karl; Salazar, Ignacio
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Quantum theory can be formulated with certain non-Hermitian Hamiltonians. An anti-linear involution, denoted by PT, is a symmetry of such Hamiltonians. In the PT-symmetric regime the non-Hermitian Hamiltonian is related to a Hermitian one by a Hermitian similarity transformation. We extend the concept of non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. At zero temperature the PT phase transition is identified as the point at which the solutions cease to be real. Surprisingly at finite temperature real black hole solutions can be found well outside the quasi-Hermitian regime. These backgrounds are however unstable to fluctuations which establishes the persistence of the holographic dual of the PT phase transition at finite temperature.
Fil: Areán, Daniel. Universidad Autónoma de Madrid; España. Consejo Superior de Investigaciones Científicas; España
Fil: Landsteiner, Karl. Universidad Autónoma de Madrid; España. Consejo Superior de Investigaciones Científicas; España
Fil: Salazar, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
HOLOGRAPHY
NON HERMITEAN
PT SYMMETRIC
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/145149
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Non-hermitian holographyAreán, DanielLandsteiner, KarlSalazar, IgnacioHOLOGRAPHYNON HERMITEANPT SYMMETRIChttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Quantum theory can be formulated with certain non-Hermitian Hamiltonians. An anti-linear involution, denoted by PT, is a symmetry of such Hamiltonians. In the PT-symmetric regime the non-Hermitian Hamiltonian is related to a Hermitian one by a Hermitian similarity transformation. We extend the concept of non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. At zero temperature the PT phase transition is identified as the point at which the solutions cease to be real. Surprisingly at finite temperature real black hole solutions can be found well outside the quasi-Hermitian regime. These backgrounds are however unstable to fluctuations which establishes the persistence of the holographic dual of the PT phase transition at finite temperature.Fil: Areán, Daniel. Universidad Autónoma de Madrid; España. Consejo Superior de Investigaciones Científicas; EspañaFil: Landsteiner, Karl. Universidad Autónoma de Madrid; España. Consejo Superior de Investigaciones Científicas; EspañaFil: Salazar, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaSciPost Foundation2020-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/145149Areán, Daniel; Landsteiner, Karl; Salazar, Ignacio; Non-hermitian holography; SciPost Foundation; SciPost Physics; 9; 3; 9-2020; 1-122542-4653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.21468/scipostphys.9.3.032info:eu-repo/semantics/altIdentifier/url/https://scipost.org/10.21468/SciPostPhys.9.3.032info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:47:24Zoai:ri.conicet.gov.ar:11336/145149instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:47:24.668CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Non-hermitian holography
title Non-hermitian holography
spellingShingle Non-hermitian holography
Areán, Daniel
HOLOGRAPHY
NON HERMITEAN
PT SYMMETRIC
title_short Non-hermitian holography
title_full Non-hermitian holography
title_fullStr Non-hermitian holography
title_full_unstemmed Non-hermitian holography
title_sort Non-hermitian holography
dc.creator.none.fl_str_mv Areán, Daniel
Landsteiner, Karl
Salazar, Ignacio
author Areán, Daniel
author_facet Areán, Daniel
Landsteiner, Karl
Salazar, Ignacio
author_role author
author2 Landsteiner, Karl
Salazar, Ignacio
author2_role author
author
dc.subject.none.fl_str_mv HOLOGRAPHY
NON HERMITEAN
PT SYMMETRIC
topic HOLOGRAPHY
NON HERMITEAN
PT SYMMETRIC
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Quantum theory can be formulated with certain non-Hermitian Hamiltonians. An anti-linear involution, denoted by PT, is a symmetry of such Hamiltonians. In the PT-symmetric regime the non-Hermitian Hamiltonian is related to a Hermitian one by a Hermitian similarity transformation. We extend the concept of non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. At zero temperature the PT phase transition is identified as the point at which the solutions cease to be real. Surprisingly at finite temperature real black hole solutions can be found well outside the quasi-Hermitian regime. These backgrounds are however unstable to fluctuations which establishes the persistence of the holographic dual of the PT phase transition at finite temperature.
Fil: Areán, Daniel. Universidad Autónoma de Madrid; España. Consejo Superior de Investigaciones Científicas; España
Fil: Landsteiner, Karl. Universidad Autónoma de Madrid; España. Consejo Superior de Investigaciones Científicas; España
Fil: Salazar, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description Quantum theory can be formulated with certain non-Hermitian Hamiltonians. An anti-linear involution, denoted by PT, is a symmetry of such Hamiltonians. In the PT-symmetric regime the non-Hermitian Hamiltonian is related to a Hermitian one by a Hermitian similarity transformation. We extend the concept of non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. At zero temperature the PT phase transition is identified as the point at which the solutions cease to be real. Surprisingly at finite temperature real black hole solutions can be found well outside the quasi-Hermitian regime. These backgrounds are however unstable to fluctuations which establishes the persistence of the holographic dual of the PT phase transition at finite temperature.
publishDate 2020
dc.date.none.fl_str_mv 2020-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/145149
Areán, Daniel; Landsteiner, Karl; Salazar, Ignacio; Non-hermitian holography; SciPost Foundation; SciPost Physics; 9; 3; 9-2020; 1-12
2542-4653
CONICET Digital
CONICET
url http://hdl.handle.net/11336/145149
identifier_str_mv Areán, Daniel; Landsteiner, Karl; Salazar, Ignacio; Non-hermitian holography; SciPost Foundation; SciPost Physics; 9; 3; 9-2020; 1-12
2542-4653
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.21468/scipostphys.9.3.032
info:eu-repo/semantics/altIdentifier/url/https://scipost.org/10.21468/SciPostPhys.9.3.032
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv SciPost Foundation
publisher.none.fl_str_mv SciPost Foundation
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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