NonAbelian monopoles and the vortices that confine them
Abstract
NonAbelian magnetic monopoles of GoddardNuytsOliveWeinberg type have recently been shown to appear as the dominant infrared degrees of freedom in a class of softly broken N=2 supersymmetric gauge theories in which the gauge group G is broken to various nonAbelian subgroups H by an adjoint Higgs VEV. When the lowenergy gauge group H is further broken completely by, e.g., squark VEVs, the monopoles representing π_{2}( G/ H) are confined by the nonAbelian vortices arising from the breaking of H, discussed recently [ arxiv:hepth/0307278]. By considering the system with G= SU( N+1), H= {SU(N)×U(1)}/{Z_{N}}, as an example, we show that the total magnetic flux of the minimal monopole agrees precisely with the total magnetic flux flowing along the single minimal vortex. The possibility for such an analysis reflects the presence of free parameters in the theory—the bare quark mass m and the adjoint mass μ—such that for m≫ μ the topologically nontrivial solutions of vortices and of unconfined monopoles exist at distinct energy scales.
 Publication:

Nuclear Physics B
 Pub Date:
 May 2004
 DOI:
 10.1016/j.nuclphysb.2004.03.003
 arXiv:
 arXiv:hepth/0312233
 Bibcode:
 2004NuPhB.686..119A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex, 20 pages, 2 eps figures