Stringy Derivation of Nahm Construction of Monopoles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, 4 eps figures, JHEP style, comments about low energy limits added, references added

Scientific paper

10.1088/1126-6708/2005/09/055

We derive the Nahm construction of monopoles from exact tachyon condensation on unstable D-branes. The Dirac operator used in the Nahm construction is identified with the tachyon profile in our D-brane approach, and we provide physical interpretation of the procedures Nahm gave. Crucial is the introduction of infinite number of brane-antibranes from which arbitrary D-brane can be constrcuted, exhibitting a unified view of various D-branes. We explicitly show the equivalence of the D3-brane boundary state with the monopole profile and the D1-brane boundary state with the Nahm data as transverse scalars.

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