Superpartner Solutions of a BPS Monopole in Noncommutative Space

TL;DR

This paper constructs superpartner solutions for a BPS monopole in noncommutative super Yang-Mills theory, revealing that supersymmetry may remain unchanged despite noncommutativity, and finds no electric quadrupole moment at second order.

Contribution

It provides explicit superpartner solutions in noncommutative space and analyzes their properties, highlighting the stability of supersymmetry features under noncommutative deformation.

Findings

No electric quadrupole moment at second order in noncommutative parameter

Supersymmetry appears unchanged between commutative and noncommutative theories

Constructed explicit superpartner solutions for noncommutative BPS monopoles

Abstract

We construct U(2) BPS monopole superpartner solutions in N=2 non-commutative super Yang-Mills theory. Calculation to the second order in the noncommutative parameter $\theta$ shows that there is no electric quadrupole moment that is expected from the magnetic dipole structure of noncommtative U(2) monopole. This might give an example of the nature of how supersymmetry works not changing between the commutative and noncommutative theories.