On the S-matrix of the Sub-leading Magnetic Deformation of the Tricritical Ising Model in Two Dimensions

TL;DR

This paper computes the S-matrix for the sub-leading magnetic deformation of the tricritical Ising model, revealing kink excitations and complex crossing symmetry, and validates results with numerical data.

Contribution

It introduces a novel computation of the S-matrix using RSOS reduction for this specific deformation, highlighting kink excitations and non-trivial crossing symmetry.

Findings

Good agreement with Truncated Conformal Space Approach data

Identification of kink excitations between degenerate vacua

Non-trivial implementation of crossing symmetry

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. The massive model contains kink excitations which interpolate between two degenerate asymmetric vacua. As a consequence of the different structure of the two vacua, the crossing symmetry is implemented in a non-trivial way. We use finite-size techniques to compare our results with the numerical data obtained by the Truncated Conformal Space Approach and find good agreement.