General couplings of a vector multiplet in N=1 supergravity with new FI terms

TL;DR

This paper introduces new interactions involving a massive vector multiplet and chiral multiplets in N=1 supergravity, utilizing generalized FI terms to analyze scalar potentials and physical constraints.

Contribution

It presents a novel formulation of vector multiplet couplings with chiral multiplets in supergravity using generalized FI terms, maintaining supersymmetry invariance.

Findings

Derived scalar potentials with new FI terms

Identified physical restrictions in the model

Maintained off-shell supersymmetry invariance

Abstract

We propose new interactions of a (massive) vector multiplet with chiral multiplets and (D-type) spontaneously broken supersymmetry in four-dimensional N=1 supergravity, due to the generalized Fayet-Iliopoulos (FI) terms. Our actions are invariant under linearly realized off-shell supersymmetry and Kaehler-Weyl transformations. We compute the scalar potentials and pinpoint some physical restrictions arising in this approach.