New integrable RG flows with parafermions

Abstract

Abstract We consider irrelevant deformations of massless RSOS scattering theories by an infinite number of higher [ T T ¯ $$ T\overline{T} $$ ] s operators which introduce extra non-trivial CDD factors between left-movers and right-movers. It is shown that the resulting theories can be UV complete after bypassing typical Hagedorn-like singularities if the coefficients of the deformations are fine-tuned. By classifying all integrable cases, we have discovered a new UV complete QFT associated to the M p $$ {\mathcal{M}}_p $$ (p ≥ 3) minimal CFT based on the integrable structure of the RSOS scattering theory. This new theory is the massless ℤ p−1 parafermionic sinh-Gordon (PShG) model with a self-dual coupling constant. This correspondence is confirmed by showing that the scale-dependent vacuum energies computed by the thermodynamic Bethe ansatz derived from the S-matrices match those from the quantization conditions for the PShG models using the reflection amplitudes.

Keywords

• Integrable Field Theories
• Renormalization Group
• Bethe Ansatz
• Field Theories in Lower Dimensions