Stringy Derivation of Nahm Construction of Monopoles
Koji Hashimoto (Univ. of Tokyo), Seiji Terashima (Rutgers)
TL;DR
This paper derives the Nahm construction of monopoles from tachyon condensation on unstable D-branes, providing a physical interpretation and unifying various D-branes through an infinite brane-antibrane system.
Contribution
It introduces a string-theoretic derivation of the Nahm construction, linking monopole solutions to tachyon profiles on D-branes and unifying different D-brane configurations.
Findings
Identifies the Dirac operator with the tachyon profile in D-brane setup.
Shows equivalence of D3-brane boundary state with monopole profile.
Demonstrates D1-brane boundary state corresponds to Nahm data.
Abstract
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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