Noncommutative monopole at the second order in θ -: art. no. 085022

We study the noncommutative U(2) monopole solution to second order in the noncommutativity parameter theta (ij). We solve the BPS equation in noncommutative super Yang-Mills theory to O(theta (2)), transform the solution to the commutative description by the Seiberg-Witten (SW) map, and evaluate the eigenvalues of the scalar field. We find that, by tuning the free parameters in the SW map, we can make the scalar eigenvalues precisely reproduce the configuration of a tilted D-string suspended between two parallel D3-branes. This gives an example of how the ambiguities inevitable in the higher order SW map are fixed by physical requirements.