vix.ing · top · new · best · stats · spec

New Integrable RG flows with Parafermions

2024/07/09 by Changrim Ahn, Ahn, Changrim, Zoltán Bajnok +1 · 2 citations
Engineering · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2407.06582

openalex publication_date 2024/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider irrelevant deformations of massless RSOS scattering theories by an infinite number of higher TTbars+1 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. In this way, we have discovered that only two new UV complete QFTs are associated with a Mp (p=3,4,...) minimal CFT based on the integrable structure of the RSOS scattering theory. One is the massless Zp-1 parafermionic sinh-Gordon models (PShG) with a self-dual coupling constant. This correspondence is confirmed by showing that the scale-dependent vacuum energies computed by the thermodynamic Bethe ansatz based on the S-matrices match those from the quantization conditions for the PShG models using the reflection amplitudes. The other UV QFT is reached from Mp by following the roaming trajectory of the Zp-1 parafermionic minimal series.

Cited by

Related