N=2 supersymmetric Yang-Mills theory and the superparticle: twistor transform and kappa-symmetry

TL;DR

This paper explores the dynamics of the N=2 superparticle using twistor methods, focusing on gauge interactions and symmetry preservation, revealing differences between massive and massless cases.

Contribution

It introduces a twistor-like Lorentz-harmonic approach to analyze the N=2 superparticle, deriving superfield constraints and interaction forms that preserve gauge symmetries.

Findings

Correct superfield strength constraints derived

Nonminimal interaction form determined

Pullback of field strength is non-integrable for massive superparticle

Abstract

Lagrangian and Hamiltonian dynamics of de Azcarraga-Lukierski N=2 massive superparticle is considered in the framework of twistor-like Lorentz-harmonic approach. The emphasis is on the study of the interaction with external Abelian gauge superfield. The requirement of preservation of all gauge symmetries of the free model including kappa-symmetry yields correct expressions for the superfield strength constraints and determines the form of nonminimal interaction. We also show that for de Azcarraga-Lukierski N=2 massive superparticle the pullback of field strength 2-superform to the superworld line is not integrable in contrast to the massless superparticle.