Deformed Nahm Equation and a Noncommutative BPS Monopole

Preprint

28 October 1999

preprint
Published by arXiv in arXiv

Abstract

A deformed Nahm equation for the BPS equation in the noncommutative N=4 supersymmetric U(2) Yang-Mills theory is obtained. Using this, we constructed explicitly a monopole solution of the noncommutative BPS equation to the linear order of the noncommutativity scale. We found that the leading order correction to the ordinary SU(2) monopole lies solely in the overall U(1) sector and that the overall U(1) magnetic field has an expected long range component of magnetic dipole moment.

Keywords

DEFORMED NAHM EQUATION
NONCOMMUTATIVE BPS
MAGNETIC FIELD
NAHM EQUATION
LINEAR ORDER
MONOPOLE

All Related Versions

Version 1, 1999-10-18, ArXiv
Version 2, 1999-10-26, ArXiv
Version 3, 1999-10-28, ArXiv
Version 4, 1999-11-02, ArXiv
Version 5, 1999-11-23, ArXiv
Published version: Physics Letters B, 471 (2-3), 149.

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