Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace

TL;DR

This paper explores how full N=1 supersymmetry can be restored in non(anti-)commutative superspaces by tuning coupling constants, providing a method to construct such models and analyzing their quantum properties.

Contribution

It introduces a general approach to recover full supersymmetry in non(anti-)commutative Wess-Zumino models and examines their quantum corrections.

Findings

Full SUSY can be restored at specific coupling constants.

Constructed models exhibit particular quantum correction behaviors.

Analyzed beta-functions in the context of restored SUSY.

Abstract

We investigate SUSY of Wess-Zumino models in non(anti-)commutative Euclidean superspaces. Non(anti-)commutative deformations break 1/2 SUSY, then non(anti-)commutative Wess-Zumino models do not have full SUSY in general. However, we can recover full SUSY at specific coupling constants satisfying some relations. We give a general way to construct full SUSY non(anti-)commutative Wess-Zumino models. For a some example, we investigate quantum corrections and $\beta$-functions behavior.