SuperParticle realization of twisted N=2 SUSY algebra

TL;DR

This paper develops a pseudoclassical particle model for twisted N=2 supersymmetry in four dimensions, revealing its quantization leads to two Dirac equations and exploring its symmetries and BPS properties.

Contribution

It introduces a new particle model for twisted N=2 SUSY algebra, analyzing its symmetries, quantization, and BPS characteristics, linking it to vector supersymmetry and Dirac equations.

Findings

Quantization yields two copies of the 4d Dirac equation.

The model possesses four kappa symmetries, three of which reduce it to vector supersymmetry.

The kappa symmetries relate to null operators and BPS states.

Abstract

We construct a pseudoclassical particle model associated to the twisted N=2 SUSY algebra in four dimensions. The particle model has four kappa symmetries. Three of them can be used to reduce the model to the vector supersymmetry particle case. The quantization of the model gives rise to two copies of the 4d Dirac equation. The kappa symmetries result to be associated to 4 TSUSY invariant bilinear odd operators who are null operators when a particular condition is satisfied. These operators are in correspondence one to one with analogous operators existing in the case of the N=2 SUSY algebra, making both cases 1/2 BPS.