When Superspace Is Not Enough

TL;DR

This paper explores how spacetime supersymmetry representations can originate from one-dimensional theories using special real Clifford algebras, shedding light on their structure after reduction to a point.

Contribution

It proposes a novel perspective linking 1D Clifford algebra-based theories to higher-dimensional supersymmetric structures.

Findings

Supersymmetry representations can be derived from 1D Clifford algebra theories.

Reduction to a 0-brane preserves supersymmetric structures.

Provides a framework connecting 1D theories to spacetime supersymmetry.

Abstract

We give an expanded discussion of the proposal that spacetime supersymmetry representations may be viewed as having their origins in 1D theories that involve a special class of real Clifford algebras. These 1D theories reproduce the supersymmetric structures of spacetime supersymmetric theories after the latter are reduced on a 0-brane.