The three-form multiplet in N=2 superspace

TL;DR

This paper introduces an N=2 superspace multiplet with a three-index antisymmetric tensor gauge potential, detailing its structure, transformation laws, invariant actions, and potential couplings within supergravity frameworks.

Contribution

It provides a novel formulation of the three-form multiplet in N=2 superspace, including its superfield description, constraints, and invariant Lagrangians, expanding the understanding of tensor multiplets in supersymmetry.

Findings

Derived the superfield solution for the three-form multiplet

Presented invariant superfield and component Lagrangians

Discussed couplings to other multiplets and relevance to supergravity

Abstract

We present an N=2 multiplet including a three-index antisymmetric tensor gauge potential, and describe it as a solution to the Bianchi identities for the associated fieldstrength superform, subject to some covariant constraints, in extended central charge superspace. We find that this solution is given in terms of an 8+8 tensor multiplet subject to an additional constraint. We give the transformation laws for the multiplet as well as invariant superfield and component field lagrangians, and mention possible couplings to other multiplets. We also allude to the relevance of the 3--form geometry for generic invariant supergravity actions.