D=4, N=1 Supersymmetric Henneaux-Knaepen Models

TL;DR

This paper develops N=1 supersymmetric four-dimensional models involving 1-form and 2-form gauge potentials, providing both superfield and component formulations, and extends recent gauge theories with vector-tensor multiplets.

Contribution

It introduces N=1 supersymmetric versions of Henneaux-Knaepen models, including superfield and component formulations, and connects to recent N=2 theories with vector-tensor multiplets.

Findings

Constructed N=1 supersymmetric models with gauge potentials

Presented models in superfield and component forms

Extended gauge theories with vector-tensor multiplets

Abstract

We construct N=1 supersymmetric versions of four-dimensional Freedman-Townsend models and generalizations thereof found recently by Henneaux and Knaepen, with couplings between 1-form and 2-form gauge potentials. The models are presented both in a superfield formulation with linearly realized supersymmetry and in WZ gauged component form. In the latter formulation the supersymmetry transformations are nonlinear and do not commute with all the gauge transformations. Among others, our construction yields N=1 counterparts of recently found N=2 supersymmetric gauge theories involving vector-tensor multiplets with gauged central charge.