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

The European Physical Journal C, 2022

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DOI 10.1140/epjc/s10052-021-09943-7
Data confidence 70 medium
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Abstract

Abstract We 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.