The Sub-leading Magnetic Deformation of the Tricritical Ising Model in 2D as RSOS Restriction of the Izergin-Korepin Model

TL;DR

This paper computes the S-matrix for the tricritical Ising model's sub-leading magnetic deformation using RSOS reduction, revealing novel features in scattering theory and connections to conformal field theory.

Contribution

It introduces a new approach to analyze the perturbed tricritical Ising model via RSOS reduction of the Izergin-Korepin model, highlighting unique scattering properties.

Findings

Non-trivial crossing-symmetry implementation

Connections between amplitude asymptotics and statistics

Insights into monodromy of the unperturbed CFT

Abstract

We compute the $S$-matrix of the Tricritical Ising Model perturbed by the subleading magnetic operator using Smirnov's RSOS reduction of the Izergin-Korepin model. We discuss some features of the scattering theory we obtain, in particular a non trivial implementation of crossing-symmetry, interesting connections between the asymptotic behaviour of the amplitudes, the possibility of introducing generalized statistics, and the monodromy properties of the OPE of the unperturbed Conformal Field Theory.