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 (17)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• The all-loop non-Abelian Thirring model and its RG flow
• Beta Function of k Deformed AdS_5 x S^5 String Theory
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• Integrable flows between exact CFTs
• $\lambda$-deformations of left-right asymmetric CFTs
• All-loop correlators of integrable $\lambda$-deformed $\sigma$-models
• All-loop anomalous dimensions in integrable $\lambda$-deformed $\sigma$-models
• Double and cyclic $\lambda$-deformations and their canonical equivalents
• Integrable deformations of the $G_{k_1}\times G_{k_2}/G_{k_1+k_2}$ coset CFTs
• Novel all loop actions of interacting CFTs: Construction, integrability and RG flows
• Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions
• Quantum aspects of doubly deformed CFTs
• RG flows for $\lambda$-deformed CFTs

Cited by in corpus (3)

• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• Asymmetric $\lambda$-deformed cosets