Topological excitations in N=1 Supersymmetric QFT

TL;DR

This paper explores topological excitations in N=1 supersymmetric 2D quantum field theories, analyzing their scattering, bound states, and the role of kink sectors to understand their topological nature.

Contribution

It introduces a consistent framework for topological excitations with zero central charge in supersymmetric integrable QFTs, including the closure of the bootstrap.

Findings

Topological excitations can be incorporated with bound states.

The bootstrap program closes for these theories.

Kink sectors clarify the topological nature of excitations.

Abstract

The present paper deals with N=1 2D supersymmetric integrable quantum field theory. The S-matrix proposed to describe the interactions between supersymmetric particles is applied to theories involving topological excitations of zero central charge. Bound states can fit consistently within this type of theories, since the bootstrap can be shown to close. The topological character of the excitations and the similarity with the scattering of particles is fully understood when a kink sector is introduced in the theory.