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

Abstract

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

25 pages, 1 figure. V2: minor corrections, accepted to EPJC

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Cited by in corpus (1)

• Aspects of cubic nilpotent superfields