Supersymmetrization of generalized Freedman-Townsend models

TL;DR

This paper develops supersymmetric versions of generalized Freedman-Townsend models in four dimensions, coupling 2-form gauge potentials with gauge fields in a gauge-invariant and supersymmetric way, despite non-commuting transformations in a specific gauge.

Contribution

It introduces novel supersymmetric models that extend previous gauge theories by coupling 2-form potentials with gauge fields, with unique transformation properties.

Findings

Successfully constructed supersymmetric models with gauge invariance

Demonstrated non-commuting supersymmetry and gauge transformations in WZ gauge

Extended the class of gauge theories with supersymmetry in four dimensions

Abstract

We review briefly generalized Freedman-Townsend models found recently by Henneaux and Knaepen, and provide supersymmetric versions of such models in four dimensions which couple 2-form gauge potentials and ordinary gauge fields in a gauge invariant and supersymmetric manner. The latter models have the unusual feature that, in a WZ gauge, the supersymmetry transformations do not commute with all the gauge transformations.