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.
Highlights
(2022) 82:84 where the N = 1 superfields and Wα are chiral superfields in θ -coordinate, and Wα is the field strength of a real N =
In this work we studied fifth-order constraint for abelian N = 2 vector multiplet described by chiral-chiral superfield X
We found most general solution of the constraint, which eliminates the real scalar component of X as a function of the imaginary scalar, two fermions, and the gauge field
Summary
In this work we show that there is an even higher-order and more general superfield constraint that can be imposed on N = 2 vector multiplet, if we consider real, rather than chiral, constraints on X and X This is somewhat similar to the N = 1 case, where in [28] it was shown that one can generalize the quadratic nilpotent superfield. In the case of a vector multiplet the constraint is expected to eliminate one of the two real scalars in terms of the goldstini, while preserving the other one (which we call the axion), protected by a global abelian symmetry, in analogy with the cubic constraints described in [28]. Use the notation F · F ≡ Fmn Fmn and ∂ A∂ B ≡ ∂m A∂m B
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