Supersymmetry and the Chiral Schwinger Model

TL;DR

This paper constructs a supersymmetric version of the chiral Schwinger model, revealing that only the specific supersymmetric model without asymmetric couplings avoids infrared divergences and remains dynamically equivalent to the original model.

Contribution

It introduces a N=1/2 supersymmetric general Abelian model and demonstrates that only the supersymmetric chiral Schwinger model is free from infrared divergences and retains equivalence to the original model.

Findings

Supersymmetric general model has infrared divergence issues.

The supersymmetric chiral Schwinger model is free from these issues.

The supersymmetric chiral model is dynamically equivalent to the original Schwinger model.

Abstract

We have constructed the N=1/2 supersymmetric general Abelian model with asymmetric chiral couplings. This leads to a N=1/2 supersymmetrization of the Schwinger model. We show that the supersymmetric general model is plagued with problems of infrared divergence. Only the supersymmetric chiral Schwinger model is free from such problems and is dynamically equivalent to the chiral Schwinger model because of the peculiar structure of the N=1/2 multiplets.