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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/123780
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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:UNLP2025-09-29T11:29:29Zoai: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:13292025-09-29 11:29:29.88SEDICI (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) |
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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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SEDICI (UNLP) - Universidad Nacional de La Plata |
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