Quintic constraints for N=2 multiplets and complete SUSY breaking

We study real fifth-order superfield constraint for N = 2 vector (and tensor) multiplet and derive most general solution describing complete supersymmetry breaking, and preserving a real scalar, two goldstini, and an abelian gauge field as low-energy degrees of freedom on which both supersymmetries are realized non-linearly. The surviving scalar is identified as an axion of a broken global abelian symmetry, while its scalar partner (saxion) is eliminated in terms of the goldstini. We provide an example of a UV model giving rise to the quintic constraint, and discuss the connection of this constraint and its solution to other known superfield constraints in N = 2 and N = 1 cases.

Automated summary

This study investigates the real fifth-order superfield constraint for N = 2 vector (and tensor) multiplet and derives the most general solution describing complete supersymmetry breaking, while preserving certain low-energy degrees of freedom. An example of a UV model giving rise to the quintic constraint is provided, along with a discussion on the connection between this constraint and its solution to other known superfield constraints in N = 2 and N = 1 cases.