Anomalous Dimensions in Deformed WZW Models on Supergroups

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.

27 pages, 3 figures

References in corpus (5)

• Free fermion resolution of supergroup WZNW models
• Principal Chiral Model on Superspheres
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part II: The boundary spectrum
• Non-chiral current algebras for deformed supergroup WZW models

Cited by in corpus (6)

• All-loop correlators of integrable $\lambda$-deformed $\sigma$-models
• All-loop anomalous dimensions in integrable $\lambda$-deformed $\sigma$-models
• Superspace conformal field theory
• On the Spectrum of Superspheres
• Spectra of Coset Sigma Models
• High-Gradient Operators in the psl(2|2) Gross-Neveu Model