Integrable Supersymmetry Breaking Perturbations of N=1,2 Superconformal Minimal Models

TL;DR

This paper introduces a new integrable perturbation for N=1 and N=2 superconformal minimal models that explicitly breaks supersymmetry, expanding the understanding of integrable deformations in conformal field theories.

Contribution

It presents a novel integrable perturbation for superconformal minimal models that was previously anticipated based on classical KdV hierarchy classifications.

Findings

Identification of a new integrable perturbation

Explicit supersymmetry breaking demonstrated

Connection to classical KdV hierarchies established

Abstract

We display a new integrable perturbation for both N=1 and N=2 superconformal minimal models. These perturbations break supersymmetry explicitly. Their existence was expected on the basis of the classification of integrable perturbations of conformal field theories in terms of distinct classical KdV type hierarchies sharing a common second Hamiltonian structure.