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

Abstract

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