Duality and Couplings of 3-Form-Multiplets in N=1 Supersymmetry

TL;DR

This paper explores the properties and dualities of 3-form gauge fields in four-dimensional N=1 supersymmetric theories, detailing their sigma model actions and geometric structures.

Contribution

It provides a comprehensive analysis of massless and massive 3-forms, including their dual actions and the associated Kahler target space geometries.

Findings

Derived sigma model actions for 3-forms

Established duality relations via Legendre transformations

Characterized Kahler geometries in supersymmetric 3-form theories

Abstract

In this paper we study 3-form gauge fields in four-dimensional N=1 supersymmetric theories. We give the sigma model action together with its Poincare dual action for massless and massive 3-forms. The resulting target space geometries are Kahler where the respective field variables and superspace couplings are related by a Legendre transformation.