Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
Takeo Araki, Katsushi Ito, Akihisa Ohtsuka

TL;DR
This paper explores how non(anti)commutative deformations affect N=2 supersymmetric U(1) gauge theory, constructing deformed supersymmetry transformations in harmonic superspace.
Contribution
It introduces a method to derive deformed N=(1,0) supersymmetry transformations for component fields in the presence of a non-singlet deformation parameter.
Findings
Deformed supersymmetry transformations are explicitly constructed.
The analysis is valid up to first order in the deformation parameter.
The work preserves the Wess-Zumino gauge in the deformed setting.
Abstract
We study N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=2 harmonic superspace with the chirality preserving non-singlet deformation parameter. By solving the Wess-Zumino gauge preserving conditions for the analytic superfield, we construct the deformed N=(1,0) supersymmetry transformation for component fields up to the first order in the deformation parameter.
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