Non-Hermitian Holography
- Autores
- Arean, Daniel; Landsteiner, Karl; Salazar Landea, 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 holes 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.
Instituto de Física La Plata - Materia
-
Ciencias Exactas
Física
non-hermitian hamiltonians
PT-symmetric regime
Holography - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/123757
Ver los metadatos del registro completo
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Non-Hermitian HolographyArean, DanielLandsteiner, KarlSalazar Landea, IgnacioCiencias ExactasFísicanon-hermitian hamiltoniansPT-symmetric regimeHolographyQuantum 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 holes 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.Instituto de Física La Plata2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/123757enginfo:eu-repo/semantics/altIdentifier/issn/2542-4653info:eu-repo/semantics/altIdentifier/arxiv/1912.06647info:eu-repo/semantics/altIdentifier/doi/10.21468/scipostphys.9.3.032info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:10:25Zoai:sedici.unlp.edu.ar:10915/123757Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:10:25.514SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Non-Hermitian Holography |
title |
Non-Hermitian Holography |
spellingShingle |
Non-Hermitian Holography Arean, Daniel Ciencias Exactas Física non-hermitian hamiltonians PT-symmetric regime Holography |
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 |
Arean, Daniel Landsteiner, Karl Salazar Landea, Ignacio |
author |
Arean, Daniel |
author_facet |
Arean, Daniel Landsteiner, Karl Salazar Landea, Ignacio |
author_role |
author |
author2 |
Landsteiner, Karl Salazar Landea, Ignacio |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Ciencias Exactas Física non-hermitian hamiltonians PT-symmetric regime Holography |
topic |
Ciencias Exactas Física non-hermitian hamiltonians PT-symmetric regime Holography |
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 holes 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. Instituto de Física La Plata |
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 holes 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 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo 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://sedici.unlp.edu.ar/handle/10915/123757 |
url |
http://sedici.unlp.edu.ar/handle/10915/123757 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/2542-4653 info:eu-repo/semantics/altIdentifier/arxiv/1912.06647 info:eu-repo/semantics/altIdentifier/doi/10.21468/scipostphys.9.3.032 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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application/pdf |
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