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

dc.creatorAguilera Damia, Jeremías
dc.creatorGiraldo Rivera, Víctor Iván
dc.creatorMazenc, Edward A.
dc.creatorSalazar Landea, Ignacio
dc.creatorSoni, Ronak M.
dc.date2020-07-14
dc.date2021-08-30T19:21:12Z
dc.date.accessioned2023-07-15T02:54:39Z
dc.date.available2023-07-15T02:54:39Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/123780
dc.identifierissn:1029-8479
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7463734
dc.descriptionWe 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.
dc.descriptionFacultad de Ciencias Exactas
dc.descriptionInstituto de Física La Plata
dc.formatapplication/pdf
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightsCreative Commons Attribution 4.0 International (CC BY 4.0)
dc.subjectCiencias Exactas
dc.subjectFísica
dc.subject2D Gravity
dc.subjectField Theories in Lower Dimensions
dc.subjectNonperturbative Effects
dc.titleA path integral realization of joint JT¯, TJ¯ and TT¯ flows
dc.typeArticulo
dc.typeArticulo


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