A Supersymmetric Extension of Quantum Gauge Theory

TL;DR

This paper develops a quantum gauge theory extended with supersymmetry, incorporating spin 3/2 partners, and applies it to supersymmetric electroweak theory, aligning with the standard model's gauge boson interactions.

Contribution

It introduces a supersymmetric extension of quantum gauge theory using the Epstein-Glaser framework, focusing on quantum constructions without classical references.

Findings

Self-couplings of gauge bosons match the standard model.

Model constructed entirely at the quantum level.

Application to supersymmetric electroweak theory.

Abstract

We consider a supersymmetric extension of quantum gauge theory based on a vector multiplet containing supersymmetric partners of spin 3/2 for the vector fields. The constructions of the model follows closely the usual construction of gauge models in the Epstein-Glaser framework for perturbative field theory. Accordingly, all the arguments are completely of quantum nature without reference to a classical supersymmetric theory. As an application we consider the supersymmetric electroweak theory. The resulting self-couplings of the gauge bosons agree with the standard model up to a divergence.