The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations

TL;DR

This paper investigates how the particle spectrum of the Tricritical Ising Model evolves under different perturbations, revealing a transition from supersymmetric to E7-related particles and exploring non-integrable features using advanced computational methods.

Contribution

It provides a detailed analysis of the particle spectrum evolution in the Tricritical Ising Model under various couplings, highlighting the transition from supersymmetry to E7 structure and the role of non-integrable effects.

Findings

Spectrum transitions from supersymmetric to E7 structure.

Presence of topologically charged stable particles.

Identification of false vacua and bound states.

Abstract

We analyze the evolution of the particle spectrum of the Tricritical Ising Model by varying the couplings of the energy and vacancy density fields. The particle content changes from the spectrum of a supersymmetric theory (either of an exact or a spontaneously broken supersymmetric theory) to the spectrum of seven particles related to the underlying E_7 structure. In the low temperature phase some of these excitations are topologically charged particles that are stable under an arbitrary variation of the parameters. The high and low temperature phases of the model are related by duality. In some regions of the two couplings there are also present false vacua and sequences of bound states. In order to study the non-integrable features of this model we employ the Form Factor Perturbation Theory and the Truncated Conformal Space Approach.