Renormalization of the N=1 Abelian Super-Chern-Simons Theory Coupled to Parity-Preserving Matter

TL;DR

This paper investigates the renormalization properties of an Abelian N=1 super-Chern-Simons theory coupled to matter, demonstrating its stability and anomaly freedom using algebraic methods.

Contribution

It provides a rigorous algebraic proof of the model's renormalizability and gauge anomaly absence, advancing understanding of super-Chern-Simons theories.

Findings

Model is stable under radiative corrections

Model is gauge anomaly free

Renormalization is achieved without regularization dependence

Abstract

We analyse the renormalizability of an Abelian N=1 super-Chern-Simons model coupled to parity-preserving matter on the light of the regularization independent algebraic method. The model shows to be stable under radiative corrections and to be gauge anomaly free.