Anomalous Dimensions in Deformed WZW Models on Supergroups
High Energy Physics - Theory
2015-06-12 v1 Statistical Mechanics
Abstract
We investigate a class of current-current, Gross-Neveu like, perturbations of WZW models in which the full left-right affine symmetry is broken to the diagonal global algebra only. Our analysis focuses on those supergroups for which such a perturbation preserves conformal invariance. A detailed calculation of the 2-point functions of affine primary operators to 3-loops is presented. Furthermore, we derive an exact formula for the anomalous dimensions of a large subset of fields to all orders in perturbation theory. Possible applications of our results, including the study of non-perturbative dualities, are outlined.
Cite
@article{arxiv.1211.2238,
title = {Anomalous Dimensions in Deformed WZW Models on Supergroups},
author = {Constantin Candu and Vladimir Mitev and Volker Schomerus},
journal= {arXiv preprint arXiv:1211.2238},
year = {2015}
}
Comments
27 pages, 3 figures