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

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arxiv 2111.02205 v2 pith:UR7PYGED submitted 2021-11-03 hep-th

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

classification hep-th
keywords constraintscalarabelianbreakingcompleteconstraintsgoldstiniquintic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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