info:eu-repo/semantics/article
A path integral realization of joint JT¯ , TJ¯ and TT¯ flows
Fecha
2020-07Registro en:
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
Autor
Aguilera Damia, Jeremías
Giraldo Rivera, Victor Ivan
Mazenc, Edward A.
Landea, Ignacio Salazar
Soni, Ronak M.
Resumen
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.