Taming the zoo of supersymmetric quantum mechanical models

TL;DR

The paper demonstrates that complex supersymmetric quantum mechanical models can be systematically derived from simple free models through Hamiltonian reduction and similarity transformations, proposing this as a general method.

Contribution

It introduces a unified approach to generate complex SQM models from simple free models using Hamiltonian reduction and similarity transformations, and conjectures its universality.

Findings

Complex SQM models can be obtained from free models via two operations.

The approach simplifies the construction of SQM models.

Conjecture that this method applies broadly to all SQM models.

Abstract

We show that in many cases nontrivial and complicated supersymmetric quantum mechanical (SQM) models can be obtained from the simple model describing free dynamics in flat complex space by two operations: (i) Hamiltonian reduction and (ii) similarity transformation of the complex supercharges. We conjecture that it is true for any SQM model.