A generalized twistor dynamics of the D=3 SUSY systems.

TL;DR

This paper extends the twistor shift method to D=3 N=1 supersymmetric systems, analyzing the effects on superparticle interactions with background fields and the resulting constraint algebra structure.

Contribution

It introduces a generalized twistor shift procedure for D=3 N=1 supersymmetric systems interacting with background fields, exploring its impact on constraint algebra.

Findings

Twistor shift affects the structure of the constraint algebra.

The method applies to superparticles in Maxwell and supergravity backgrounds.

The algebraic structure of the constraints is modified by the twistor shift.

Abstract

A generalization of the twistor shift procedure to the case of superparticle interacting with the background D=3 N=1 Maxwell and D=3 N=1 supergravity supermultiplet is considered. We investigate twistor shift effects and discuss the structure of the resulting constraint algebra.