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

Autores
Aguilera Damia, Jeremías; Giraldo Rivera, Victor Ivan; Mazenc, Edward A.; Landea, Ignacio Salazar; 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.
Fil: Aguilera Damia, Jeremías. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Giraldo Rivera, Victor Ivan. 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
Fil: Mazenc, Edward A.. University of Stanford. Physics Department; Estados Unidos
Fil: Landea, Ignacio Salazar. 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
Fil: Soni, Ronak M.. University of Stanford. Physics Department; Estados Unidos
Materia
2D GRAVITY
FIELD THEORIES IN LOWER DIMENSIONS
NONPERTURBATIVE EFFECTS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/115135
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A path integral realization of joint JT¯ , TJ¯ and TT¯ flowsAguilera Damia, JeremíasGiraldo Rivera, Victor IvanMazenc, Edward A.Landea, Ignacio SalazarSoni, Ronak M.2D GRAVITYFIELD THEORIES IN LOWER DIMENSIONSNONPERTURBATIVE EFFECTShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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.Fil: Aguilera Damia, Jeremías. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Giraldo Rivera, Victor Ivan. 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; ArgentinaFil: Mazenc, Edward A.. University of Stanford. Physics Department; Estados UnidosFil: Landea, Ignacio Salazar. 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; ArgentinaFil: Soni, Ronak M.. University of Stanford. Physics Department; Estados UnidosSpringer2020-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/115135Aguilera Damia, Jeremías; Giraldo Rivera, Victor Ivan; Mazenc, Edward A.; Landea, Ignacio Salazar; Soni, Ronak M.; A path integral realization of joint JT¯ , TJ¯ and TT¯ flows; Springer; Journal of High Energy Physics; 2020; 7; 7-2020; 1-361029-84791126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP07%282020%29085info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP07(2020)085info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:43:35Zoai:ri.conicet.gov.ar:11336/115135instacron: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 11:43:36.246CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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, Victor Ivan
Mazenc, Edward A.
Landea, Ignacio Salazar
Soni, Ronak M.
author Aguilera Damia, Jeremías
author_facet Aguilera Damia, Jeremías
Giraldo Rivera, Victor Ivan
Mazenc, Edward A.
Landea, Ignacio Salazar
Soni, Ronak M.
author_role author
author2 Giraldo Rivera, Victor Ivan
Mazenc, Edward A.
Landea, Ignacio Salazar
Soni, Ronak M.
author2_role author
author
author
author
dc.subject.none.fl_str_mv 2D GRAVITY
FIELD THEORIES IN LOWER DIMENSIONS
NONPERTURBATIVE EFFECTS
topic 2D GRAVITY
FIELD THEORIES IN LOWER DIMENSIONS
NONPERTURBATIVE EFFECTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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.
Fil: Aguilera Damia, Jeremías. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Giraldo Rivera, Victor Ivan. 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
Fil: Mazenc, Edward A.. University of Stanford. Physics Department; Estados Unidos
Fil: Landea, Ignacio Salazar. 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
Fil: Soni, Ronak M.. University of Stanford. Physics Department; Estados Unidos
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
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/11336/115135
Aguilera Damia, Jeremías; Giraldo Rivera, Victor Ivan; Mazenc, Edward A.; Landea, Ignacio Salazar; Soni, Ronak M.; A path integral realization of joint JT¯ , TJ¯ and TT¯ flows; Springer; Journal of High Energy Physics; 2020; 7; 7-2020; 1-36
1029-8479
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/115135
identifier_str_mv Aguilera Damia, Jeremías; Giraldo Rivera, Victor Ivan; Mazenc, Edward A.; Landea, Ignacio Salazar; Soni, Ronak M.; A path integral realization of joint JT¯ , TJ¯ and TT¯ flows; Springer; Journal of High Energy Physics; 2020; 7; 7-2020; 1-36
1029-8479
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP07%282020%29085
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP07(2020)085
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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