# On Non-Relativistic Supersymmetry and its Spontaneous Breaking

## TL;DR

This paper investigates non-relativistic supersymmetric field theories, analyzing their spontaneous supersymmetry breaking, spectrum, and quantum corrections, revealing preserved supersymmetry but broken scale invariance and IR freedom.

## Contribution

It provides a detailed analysis of spontaneous supersymmetry breaking and quantum corrections in non-relativistic supersymmetric theories across various dimensions.

## Key findings

- Supersymmetry remains unbroken at the vacua.
- Scale invariance is broken despite supersymmetry preservation.
- The theories are IR free with quantum corrections calculated.

## Abstract

We study non-relativistic supersymmetric field theories in diverse dimensions. The theories consist of scalars and fermions and possess two, four or eight real supercharges. We analyze their spontaneous supersymmetry breaking structure and calculate the gapless spectrum. We calculate the perturbative quantum corrections at the supersymmetric vacua and show that while supersymmetry is preserved, scale invariance is broken and the theories are IR free.