Higher Dimensional SUSY Quantum Mechanics
Ashok Das, Sergio. A. Pernice
TL;DR
This paper explores the properties of supersymmetric quantum mechanics in higher dimensions, revealing that spin structures naturally emerge in three or more spatial dimensions from the supersymmetry algebra.
Contribution
It provides a detailed analysis of higher-dimensional supersymmetric quantum mechanics and demonstrates the natural emergence of spin structures in three or more dimensions.
Findings
Spin structures arise naturally in three or more dimensions.
Properties of two-dimensional supersymmetric quantum mechanics are characterized.
Higher-dimensional cases exhibit new algebraic features.
Abstract
Higher dimensional supersymmetric quantum mechanics is studied. General properties of the two dimensional case are presented. For three spatial dimesions or higher, a spin structure is shown to arise naturally from the nonrelativistic supersymmetry algebra.
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