Abstract
We discuss chirality-preserving nilpotent deformations of the four-dimensional N=(1, 1) Euclidean harmonic superspace and their implications in N=(1, 1) supersymmetric gauge and hypermultiplet theories. For the SO(4) × SU(2)-invariant deformation, we present nonanticommutative Euclidean analogues of the N=2 gauge multiplet and hypermultiplet off-shell actions.As a new result, we consider a specific nonanticommutative hypermultiplet model with the N=(1, 0) supersymmetry.It involves free scalar fields and interacting right-handed spinor fields.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 2, pp. 235–251, February, 2005.
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Ivanov, E.A., Zupnik, B.M. Nonanticommutative deformations of N=(1, 1) supersymmetric theories. Theor Math Phys 142, 197–210 (2005). https://doi.org/10.1007/PL00022142
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DOI: https://doi.org/10.1007/PL00022142