2010•Journal of High Energy PhysicsOpen access

One monopole with k singularities

Chris D. A. Blair, Sergey A. Cherkis

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Abstract

We present all charge one monopole solutions of the Bogomolny equation with k prescribed Dirac singularities for the gauge groups U(2) , SO(3) , or SU(2) . We analyze these solutions comparing them to the previously known expressions for the cases of one or two singularities.

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We present all charge one monopole solutions of the Bogomolny equation with k prescribed Dirac singularities for the gauge groups U(2) , SO(3) , or SU(2) . We analyze these solutions comparing them to the previously known expressions for the cases of one or two singularities.

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Available abstract

We present all charge one monopole solutions of the Bogomolny equation with k prescribed Dirac singularities for the gauge groups U(2) , SO(3) , or SU(2) . We analyze these solutions comparing them to the previously known expressions for the cases of one or two singularities.

Key concepts: Magnetic monopole, Gravitational singularity, Mathematical physics, Gauge (firearms), Charge (physics), Dirac (video compression format), Physics, Gauge theory

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