Quantisation of monopoles with nonabelian magnetic charge
Abstract
Magnetic monopoles in YangMillsHiggs theory with a nonabelian unbroken gauge group are classified by holomorphic charges in addition to the topological charges familiar from the abelian case. As a result the moduli spaces of monopoles of given topological charge are stratified according to the holomorphic charges. Here the physical consequences of the stratification are explored in the case where the gauge group SU(3) is broken to U(2). The description due to Dancer of the moduli space of chargetwo monopoles is reviewed and interpreted physically in terms of nonabelian magnetic dipole moments. Semiclassical quantisation leads to dyonic states which are labelled by a magnetic charge and a representation of the subgroup of U(2) which leaves the magnetic charge invariant (centraliser subgroup). A key result of this paper is that these states fall into representations of the semidirect product U(2) ⋉ R^{4}. The combination rules (ClebschGordan coefficients) of dyonic states can thus be deduced. Electricmagnetic duality properties of the theory are discussed in the light of our results, and supersymmetric dyonic BPS states which fill the SL(2, Z) orbit of the basic massive Wbosons are found.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1998
 DOI:
 10.1016/S05503213(97)007785
 arXiv:
 arXiv:hepth/9708004
 Bibcode:
 1998NuPhB.512..250B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 57 pages, harvmac, amssym, two eps figures, minor mistakes and typos corrected, references added