A path integral realization of joint JT¯, TJ¯ and TT¯ flows

Autores
Aguilera Damia, Jeremías; Giraldo Rivera, Víctor Iván; Mazenc, Edward A.; Salazar Landea, Ignacio; Soni, Ronak M.
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We recast the joint JT¯, TJ¯ and TT¯ deformations as coupling the original theory to a mixture of topological gravity and gauge theory. This geometrizes the general flow triggered by irrelevant deformations built out of conserved currents and the stress-energy tensor, by means of a path integral kernel. The partition function of the deformed theory satisfies a diffusion-like flow equation similar to that found in the pure TT¯ case. Our proposal passes two stringent tests. Firstly, we recover the classical deformed actions from the kernel, reproducing the known expressions for the free boson and fermion. Secondly, we explicitly compute the torus path integral along the flow and show it localizes to a finite-dimensional, one-loop exact integral over base space torus moduli. The dressed energy levels so obtained match exactly onto those previously reported in the literature.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/123780
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/123780
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling A path integral realization of joint JT¯, TJ¯ and TT¯ flowsAguilera Damia, JeremíasGiraldo Rivera, Víctor IvánMazenc, Edward A.Salazar Landea, IgnacioSoni, Ronak M.Ciencias ExactasFísica2D GravityField Theories in Lower DimensionsNonperturbative EffectsWe recast the joint JT¯, TJ¯ and TT¯ deformations as coupling the original theory to a mixture of topological gravity and gauge theory. This geometrizes the general flow triggered by irrelevant deformations built out of conserved currents and the stress-energy tensor, by means of a path integral kernel. The partition function of the deformed theory satisfies a diffusion-like flow equation similar to that found in the pure TT¯ case. Our proposal passes two stringent tests. Firstly, we recover the classical deformed actions from the kernel, reproducing the known expressions for the free boson and fermion. Secondly, we explicitly compute the torus path integral along the flow and show it localizes to a finite-dimensional, one-loop exact integral over base space torus moduli. The dressed energy levels so obtained match exactly onto those previously reported in the literature.Facultad de Ciencias ExactasInstituto de Física La Plata2020-07-14info: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/10915/123780enginfo:eu-repo/semantics/altIdentifier/issn/1029-8479info:eu-repo/semantics/altIdentifier/doi/10.1007/jhep07(2020)085info: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:10915/123780Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:10:25.455SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv A path integral realization of joint JT¯, TJ¯ and TT¯ flows
title A path integral realization of joint JT¯, TJ¯ and TT¯ flows
spellingShingle A path integral realization of joint JT¯, TJ¯ and TT¯ flows
Aguilera Damia, Jeremías
Ciencias Exactas
Física
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
title_short A path integral realization of joint JT¯, TJ¯ and TT¯ flows
title_full A path integral realization of joint JT¯, TJ¯ and TT¯ flows
title_fullStr A path integral realization of joint JT¯, TJ¯ and TT¯ flows
title_full_unstemmed A path integral realization of joint JT¯, TJ¯ and TT¯ flows
title_sort A path integral realization of joint JT¯, TJ¯ and TT¯ flows
dc.creator.none.fl_str_mv Aguilera Damia, Jeremías
Giraldo Rivera, Víctor Iván
Mazenc, Edward A.
Salazar Landea, Ignacio
Soni, Ronak M.
author Aguilera Damia, Jeremías
author_facet Aguilera Damia, Jeremías
Giraldo Rivera, Víctor Iván
Mazenc, Edward A.
Salazar Landea, Ignacio
Soni, Ronak M.
author_role author
author2 Giraldo Rivera, Víctor Iván
Mazenc, Edward A.
Salazar Landea, Ignacio
Soni, Ronak M.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
topic Ciencias Exactas
Física
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
dc.description.none.fl_txt_mv We recast the joint JT¯, TJ¯ and TT¯ deformations as coupling the original theory to a mixture of topological gravity and gauge theory. This geometrizes the general flow triggered by irrelevant deformations built out of conserved currents and the stress-energy tensor, by means of a path integral kernel. The partition function of the deformed theory satisfies a diffusion-like flow equation similar to that found in the pure TT¯ case. Our proposal passes two stringent tests. Firstly, we recover the classical deformed actions from the kernel, reproducing the known expressions for the free boson and fermion. Secondly, we explicitly compute the torus path integral along the flow and show it localizes to a finite-dimensional, one-loop exact integral over base space torus moduli. The dressed energy levels so obtained match exactly onto those previously reported in the literature.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We recast the joint JT¯, TJ¯ and TT¯ deformations as coupling the original theory to a mixture of topological gravity and gauge theory. This geometrizes the general flow triggered by irrelevant deformations built out of conserved currents and the stress-energy tensor, by means of a path integral kernel. The partition function of the deformed theory satisfies a diffusion-like flow equation similar to that found in the pure TT¯ case. Our proposal passes two stringent tests. Firstly, we recover the classical deformed actions from the kernel, reproducing the known expressions for the free boson and fermion. Secondly, we explicitly compute the torus path integral along the flow and show it localizes to a finite-dimensional, one-loop exact integral over base space torus moduli. The dressed energy levels so obtained match exactly onto those previously reported in the literature.
publishDate 2020
dc.date.none.fl_str_mv 2020-07-14
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/10915/123780
url http://sedici.unlp.edu.ar/handle/10915/123780
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1029-8479
info:eu-repo/semantics/altIdentifier/doi/10.1007/jhep07(2020)085
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)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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