Brane Configuration from Monopole Solution in Non-Commutative Super Yang-Mills Theory

Abstract

We study the structure of the monopole configuration in U(2) non-commutative super Yang-Mills theory. Our analysis consists of two steps: solving the BPS equation and then the eigenvalue equation in the non-commutative space. Calculation to the first non-trivial order in the non-commutativity parameter theta shows that the monopole exhibits a certain non-locality. This structure is precisely the one expected from the recent predictions by the brane-configuration technique.

12 pages, LaTeX, 2 eps figures, v2: gauge invariance problem clarified, v3: final version to be published in JHEP

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