We construct $U\left(2\right)\mathrm{}$ BPS monopole superpartner solutions in $N=2\mathrm{}$ noncommutative super-Yang-Mills theory. The calculation to second order in the noncommutative parameter θ shows that there is no electric quadrupole moment that is expected from the magnetic dipole structure of noncommutative $U\left(2\right)\mathrm{}$ monopole. This might give an example of the nature of how supersymmetry works without changing between the commutative and noncommutative theories.

• Received 29 June 2001

DOI:https://doi.org/10.1103/PhysRevD.64.087702