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- Title
A path integral realization of joint JT¯, TJ¯ and TT¯ flows.
- Authors
Aguilera-Damia, Jeremías; Giraldo-Rivera, Victor I.; Mazenc, Edward A.; Landea, Ignacio Salazar; Soni, Ronak M
- Abstract
We recast the joint J T ¯ , T J ¯ and T T ¯ 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 T T ¯ 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.
- Subjects
PATH integrals; PARTITION functions; FREEDOM of expression; TORUS; BOSONS
- Publication
Journal of High Energy Physics, 2020, Vol 2020, Issue 7, pN.PAG
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP07(2020)085