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

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