A New Family of N-fold Supersymmetry: Type B

TL;DR

This paper introduces a new family of N-fold supersymmetric systems called 'type B', which extends existing models and includes two quasi-solvable models, using a deformation of type A supercharges.

Contribution

It presents the construction of a novel 'type B' N-fold supersymmetry family using a deformed supercharge approach, expanding the scope of quasi-solvable models.

Findings

Includes two quasi-solvable models of Post-Turbiner type

Constructs a higher derivative representation of the supercharge

Extends the framework of type A N-fold supersymmetry

Abstract

We construct a new family of N-fold supersymmetric systems which is referred to as ``type B''. A higher derivative representation of the N-fold supercharge for this new family is given by a deformation of the type A N-fold supercharge. By utilizing the same method as in the sl(2) construction of type A N-fold supersymmetry, we show that this family includes two of the quasi-solvable models of Post-Turbiner type.