N = 2 Supersymmetric Yang–Mills Theory and the Superparticle: Twistor Transform and κ-Symmetry

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 κ-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 two-superform to the superworld line is not integrable in contrast to the massless superparticle.