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

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 ker...

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Autores principales: Aguilera Damia, Jeremías, Giraldo Rivera, Víctor Iván, Mazenc, Edward A., Salazar Landea, Ignacio, Soni, Ronak M.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Física
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123780
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123780
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
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
spellingShingle Ciencias Exactas
Física
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
Aguilera Damia, Jeremías
Giraldo Rivera, Víctor Iván
Mazenc, Edward A.
Salazar Landea, Ignacio
Soni, Ronak M.
A path integral realization of joint JT¯, TJ¯ and TT¯ flows
topic_facet Ciencias Exactas
Física
2D Gravity
Field Theories in Lower Dimensions
Nonperturbative Effects
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.
format Articulo
Articulo
author Aguilera Damia, Jeremías
Giraldo Rivera, Víctor Iván
Mazenc, Edward A.
Salazar Landea, Ignacio
Soni, Ronak M.
author_facet Aguilera Damia, Jeremías
Giraldo Rivera, Víctor Iván
Mazenc, Edward A.
Salazar Landea, Ignacio
Soni, Ronak M.
author_sort Aguilera Damia, Jeremías
title A path integral realization of joint JT¯, TJ¯ and TT¯ flows
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 path integral realization of joint jt¯, tj¯ and tt¯ flows
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/123780
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