Quintic constraints for ${{\mathcal {N}}}=2$ multiplets and complete SUSY breaking
Résumé
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.
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Aldabergenov2022_Article_QuinticConstraintsForMathcalN2(1).pdf (500.15 Ko)
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