SUSY S-matrix Bootstrap and Friends

TL;DR

This paper explores the 2D supersymmetric S-matrix bootstrap, revealing connections between known integrable models, elliptic deformations, and new relations within the space of allowed S-matrices.

Contribution

It introduces a comprehensive analysis of supersymmetric S-matrices in 2D, identifying new elliptic deformations and elucidating the relationships among various integrable models.

Findings

Identification of boundary S-matrices corresponding to known integrable models

Discovery of novel elliptic deformations of supersymmetric S-matrices

Unveiling a web of relations among different S-matrix solutions

Abstract

We consider the 2D S-matrix bootstrap in the presence of supersymmetry, $\mathbb{Z}_2$ and $\mathbb{Z}_4$ symmetry. At the boundary of the allowed S-matrix space we encounter well known integrable models such as the supersymmetric sine-Gordon and restricted sine-Gordon models, novel elliptic deformations thereof, as well as a two parameter family of $\mathbb{Z}_4$ elliptic S-matrices previously proposed by Zamolodchikov. We highlight an intricate web of relations between these various S-matrices.