Derivative expansion and the induced Chern-Simons term in N=1, d=3 superspace

TL;DR

This paper extends the derivative expansion method to supersymmetric theories in three dimensions to compute the induced non-Abelian Chern-Simons term within $ ext{N}=1$, $ ext{d}=3$ superspace for any gauge group.

Contribution

It introduces a supersymmetric generalization of the derivative expansion method to calculate the induced Chern-Simons term in $ ext{N}=1$, $ ext{d}=3$ superspace for arbitrary gauge groups.

Findings

Successfully computed the induced non-Abelian Chern-Simons term in superspace.

Generalized the method to arbitrary gauge groups.

Provided a framework for supersymmetric Chern-Simons calculations.

Abstract

In this paper we apply a supersymmetric generalization of the method of derivative expansion to compute the induced non-Abelian Chern-Simons term in $\mathcal{N}=1$, $d=3$ superspace, for an arbitrary gauge group.