The 3-Form Multiplet in Supergravity

TL;DR

This paper derives the couplings of the 3-form supermultiplet within supergravity, identifying component fields, their transformations, and invariant actions, with applications to duality and gaugino condensation.

Contribution

It introduces a systematic method to incorporate 3-form supermultiplets into supergravity-matter-Yang-Mills systems using superspace geometry.

Findings

Derived couplings of 3-form supermultiplet to supergravity-matter-Yang-Mills systems.

Identified component fields and their supergravity transformations.

Constructed invariant component actions for the 3-form supermultiplet.

Abstract

We derive the couplings of the 3-form supermultiplet to the general supergravity-matter-Yang-Mills system. Based on the methods of superspace geometry, we identify component fields, establish their supergravity transformations and construct invariant component field actions. Two specific applications are adressed: the appearance of fundamental 3-forms in the context of strong-weak duality and the use of the 3-form supermultiplets to describe effective degrees of freedom relevant to the mechanism of gaugino condensation.