On the Seiberg-Witten map of ${\cal N}=2$ SYM theory in Non(anti)commutative Harmonic Superspace

TL;DR

This paper constructs a Seiberg-Witten map for ${ m extbf{N}=2}$ supersymmetric U(1) gauge theory in a nonanticommutative harmonic superspace, enabling canonical gauge transformations and standard supersymmetry behavior.

Contribution

It generalizes the analytic superfield and gauge parameter to the nonanticommutative setting, providing a consistent Seiberg-Witten map for the theory.

Findings

Gauge transformations act canonically on component fields.

Superfield transforms under supersymmetry in a standard manner.

Provides a framework for nonanticommutative ${ m extbf{N}=2}$ supersymmetric gauge theories.

Abstract

We consider ${\cal N}=2$ supersymmetric U(1) gauge theory in a nonanticommutative ${\cal N}=2$ harmonic superspace with the singlet deformation. We generalize analytic superfield and gauge parameter to the nonanticommutative theory so that gauge transformations act on the component fields in a canonical form (Seiberg-Witten map). This superfield, upon a field redefinition transforms under supersymmetry in a standard way.