Comments on Noncommutative Superspace

TL;DR

This paper investigates N=1/2 supersymmetric theories on noncommutative superspace, analyzing deformed models, their quantum properties, and extending the deformation to include bosonic-fermionic coordinate noncommutativity.

Contribution

It provides new insights into the structure and properties of supersymmetric theories on noncommutative superspaces, including gauge restrictions and generalized deformations.

Findings

Vacuum energy vanishes in the deformed Wess-Zumino model

Superpotential undergoes renormalization

Gauge groups are restricted in noncommutative gauge theories

Abstract

We study the N=1/2 supersymmetric theory on noncommutative superspace which is a deformation of usual superspace. We consider deformed Wess-Zumino model as an example and show vanishing of vacuum energy, renormalization of superpotential and nonvanishing of tadpole. We find that the perturbative effective action has terms which are not written in the star deformation. Also we consider gauge theory on noncommutative superspace and observe that gauge group is restricted. We generalize the star deformation to include noncommutativity between bosonic coordinates and fermionic coordinates.