Couplings of N=1 chiral spinor multiplets

TL;DR

This paper derives the supersymmetric action for chiral spinor multiplets coupled to other multiplets, including gauge-invariant mass terms and Green-Schwarz couplings, and explores dual formulations.

Contribution

It provides the explicit derivation of the coupled action, including mass terms and duality transformations, for chiral spinor multiplets in supersymmetric theories.

Findings

Includes gauge-invariant mass terms for antisymmetric tensors

Provides Green-Schwarz couplings to vector fields

Constructs dual actions via superspace duality transformations

Abstract

We derive the action for chiral spinor multiplets coupled to vector and scalar multiplets. We give the component form of the action, which contains gauge invariant mass terms for the antisymmetric tensors in the spinor superfield and additional Green-Schwarz couplings to vector fields. We observe that supersymmetry provides mass terms for the scalars in the spinor multiplet which do not arise from eliminating an auxiliary field. We construct the dual action by explicitly performing the duality transformations in superspace and give its component form.