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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/145149
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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 Técnicas2025-09-29T10:17:15Zoai: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:34982025-09-29 10:17:15.969CONICET 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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13.070432 |