A surprise in mechanics with nonlinear chiral supermultiplet

TL;DR

This paper introduces a new class of two-dimensional ${ m N}=4$ supersymmetric mechanics constructed using nonlinear chiral supermultiplets, encompassing models with magnetic fields and factorizable Schrödinger equations.

Contribution

It demonstrates how nonlinear chiral supermultiplets enable the construction of a family of supersymmetric mechanics models parameterized by a holomorphic function.

Findings

Includes superextensions of mechanics with magnetic fields

Models have factorizable Schrödinger equations

Provides a new framework for supersymmetric mechanics

Abstract

We show that the nonlinear chiral supermultiplet allows one to construct, over given two-dimensional bosonic mechanics, the family of two-dimensional ${\cal N}=4$ supersymmetric mechanics parameterized with the holomorphic function $\lambda (z)$. We show, that this family includes, as a particular case, the ${\cal N}=4$ superextensions of two-dimensional mechanics with magnetic fields, which have factorizable Schroedinger equations.