# Renormalization properties of a Galilean Wess-Zumino model

## TL;DR

This paper investigates a non-relativistic supersymmetric model derived from a relativistic Wess-Zumino theory, demonstrating its quantum stability and one-loop exactness due to its causal structure and conservation laws.

## Contribution

It introduces a Galilean N=2 supersymmetric model in 2+1 dimensions and shows its F-term remains uncorrected at quantum level, highlighting its one-loop exactness.

## Key findings

- F-term does not receive quantum corrections
- The theory is constrained to be one-loop exact
- Quantum corrections are computed and confirmed

## Abstract

We consider a Galilean N=2 supersymmetric theory in 2+1 dimensions with F-term couplings, obtained by null reduction of a relativistic Wess-Zumino model. We compute quantum corrections and we check that, as for the relativistic parent theory, the F-term does not receive quantum corrections. Even more, we find evidence that the causal structure of the non-relativistic dynamics together with particle number conservation constrain the theory to be one-loop exact.