The Discrete Symmetry of the N=2 Supersymmetric Modified NLS Hierarchy

TL;DR

This paper introduces new N=2 superintegrable mappings in superspace, analyzes their origins, and uses one as a discrete symmetry to construct the hierarchy's recursion operator and Hamiltonian structures.

Contribution

It presents novel N=2 superintegrable mappings and demonstrates their role as discrete symmetries in constructing the hierarchy's integrable structures.

Findings

New N=2 superintegrable mappings proposed

Recursion operator for the hierarchy constructed

Hamiltonian structures derived

Abstract

A few new N=2 superintegrable mappings in the (1|2) superspace are proposed and their origin is analyzed. Using one of them, acting like the discrete symmetry transformation of the N=2 supersymmetric modified NLS hierarchy, the recursion operator and hamiltonian structures of the hierarchy are constructed.