Quintic constraints for ${\cal N}=2$ multiplets and complete SUSY breaking

TL;DR

This paper introduces a new quintic superfield constraint for ${\cal N}=2$ multiplets, enabling a comprehensive description of complete supersymmetry breaking with specific low-energy degrees of freedom and connecting to existing constraints.

Contribution

It derives the most general solution to the fifth-order superfield constraint for ${\cal N}=2$ multiplets, expanding understanding of SUSY breaking mechanisms and their superfield representations.

Findings

Identifies the surviving scalar as an axion of a broken symmetry.

Eliminates the saxion in favor of goldstini.

Provides a UV model leading to the quintic constraint.

Abstract

We study real fifth-order superfield constraint for ${\cal N}=2$ 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 ${\cal N}=2$ and ${\cal N}=1$ cases.