Higher-Derivative Wess-Zumino Model in Three Dimensions

TL;DR

This paper explores the impact of adding higher-derivative Lee-Wick operators to the three-dimensional  Wess-Zumino model, analyzing their effects on the model's classical and quantum properties.

Contribution

It introduces higher-derivative Lee-Wick operators into the 3D  Wess-Zumino model and studies their classical and quantum effects, a novel deformation approach.

Findings

Higher-derivative operators modify the model's behavior at classical level.

Quantum effects of the deformed model are systematically analyzed.

The deformation impacts the stability and renormalization properties.

Abstract

We deform the well-known three dimensional $\mathcal{N}=1$ Wess-Zumino model by adding higher derivative operators (Lee-Wick operators) to its action. The effects of these operators are investigated both at the classical and quantum levels.