Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory

TL;DR

This paper investigates how non(anti)commutative deformations affect the central charge in N=2 supersymmetric U(N) gauge theories, revealing dependence on deformation parameters and electric/magnetic charges.

Contribution

It provides explicit calculations of the deformed central charge in various non(anti)commutative N=2 superspace formulations, including harmonic superspace.

Findings

Central charge is deformed by non(anti)commutative parameters.

Deformation depends on electric and magnetic charges.

Computed O(C) correction for U(1) gauge group.

Abstract

We study the central charge of the deformed N=(1,0) supersymmetry algebra in non(anti)commutative N=2 supersymmetric U(N) gauge theory. In the cases of N=1/2 superspace and N=2 harmonic superspace with the singlet deformation, we find that the central charge is deformed by the non(anti)commutative parameters but depends on the electric and magnetic charges. For generic deformation of N=2 harmonic superspace, we compute the O(C) correction to the central charges in the case of U(1) gauge group.