Integrable Lorentz-breaking deformations and RG flows

Abstract

We construct the all loop effective action for WZW models perturbed by current-bilinear terms of the type $J_{+}{J}_{-}$, $J_{+}{J}_{+}$ and $J_{-}{J}_{-}$, the last two of which explicitly break Lorentz invariance. For isotropic couplings we prove integrability. For the case in which only the first two terms are present we identify a non-perturbative symmetry of the effective action and we compute the exact beta-functions. These become identically zero outside a bounded region in the parametric space.

21 pages, 1 figure. some presentation improvements

References in corpus (4)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• The all-loop non-Abelian Thirring model and its RG flow
• Integrable flows between exact CFTs