$\lambda$-deformations of left-right asymmetric CFTs
Abstract
We compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories, unlike their equal level counterparts, possess a new non-trivial fixed point in the IR. By computing the exact in two- and three-point functions for these operators we deduce their OPEs and their equal-time commutators. Using these we argue on the nature of the CFT at the IR fixed point. The associated to the currents Poisson brackets are a two-parameter deformation of the canonical structure of the isotropic PCM.
Cite
@article{arxiv.1610.05314,
title = {$\lambda$-deformations of left-right asymmetric CFTs},
author = {George Georgiou and Konstantinos Sfetsos and Konstantinos Siampos},
journal= {arXiv preprint arXiv:1610.05314},
year = {2019}
}
Comments
1+27 pages, Latex, v2: Correcting a typo in Eqs. (3.1), (3.2), v3: Correcting a typo in Eq.(2.20)