Non-Hermitian Holography

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 conce...

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Detalles Bibliográficos
Autores principales: Arean, Daniel, Landsteiner, Karl, Salazar Landea, Ignacio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Física
non-hermitian hamiltonians
PT-symmetric regime
Holography
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123757
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123757
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
non-hermitian hamiltonians
PT-symmetric regime
Holography
spellingShingle Ciencias Exactas
Física
non-hermitian hamiltonians
PT-symmetric regime
Holography
Arean, Daniel
Landsteiner, Karl
Salazar Landea, Ignacio
Non-Hermitian Holography
topic_facet Ciencias Exactas
Física
non-hermitian hamiltonians
PT-symmetric regime
Holography
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.
format Articulo
Articulo
author Arean, Daniel
Landsteiner, Karl
Salazar Landea, Ignacio
author_facet Arean, Daniel
Landsteiner, Karl
Salazar Landea, Ignacio
author_sort Arean, Daniel
title Non-Hermitian 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
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/123757
work_keys_str_mv AT areandaniel nonhermitianholography
AT landsteinerkarl nonhermitianholography
AT salazarlandeaignacio nonhermitianholography
bdutipo_str Repositorios
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