Supersymmetry from a braided point of view

TL;DR

This paper demonstrates that one-dimensional superspace can be derived as a special limit of the braided line, providing a new perspective on supersymmetry through braided algebraic structures.

Contribution

It introduces a novel braided algebraic framework for supersymmetry by linking superspace to the limit of the braided line as q approaches -1.

Findings

Superspace is isomorphic to a limit of the braided line at q→-1.

Supersymmetry corresponds to translational invariance along this braided line.

Supertranslation generator and covariant derivative are derived from the braided calculus.

Abstract

We show that one-dimensional superspace is isomorphic to a non-trivial but consistent limit as $q\to-1$ of the braided line. Supersymmetry is identified as translational invariance along this line. The supertranslation generator and covariant derivative are obtained in the limit in question as the left and right derivatives of the calculus on the braided line.