Non-anticommutative ABJ Theory

TL;DR

This paper explores non-anticommutative deformations of harmonic superspace, analyzing how they break and modify supersymmetry in ABJ theory, resulting in a theory with enhanced supersymmetry.

Contribution

It introduces a novel non-anticommutative deformation of ABJ theory that increases supersymmetry from  to .

Findings

Deformation breaks  supersymmetry to 

Deformed ABJ theory exhibits  supersymmetry

Analysis of superspace deformation effects

Abstract

In this paper we will discuss non-anticommutative deformations of the harmonic superspace. We will analyse the non-anticommutative deformation of the superspace that break the supersymmetry from $\mathcal{N} =3$ supersymmetry to $\mathcal{N} =2$ supersymmetry. We will then study the ABJ theory in this non-anticommutative superspace. This deformed ABJ theory will be shown to posses $\mathcal{N} =5$ supersymmetry.