Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups

Details Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups

2006-10-10

arxiv.org/abs/hep-th/0610115v1

JHEP 0701:100,2007

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, no figures

Scientific paper

10.1088/1126-6708/2007/01/100

For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\theta^{\mu\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative Yang-Mills-Higgs equations in the BPS limit and that are formal power series in h\theta^{\mu\nu}. We show that there exist noncommutative BPS (multi-)monopole field configurations that are formal power series in h\theta^{\mu\nu} if, and only if, two a priori free parameters of the Seiberg-Witten map take very specific values. These parameters, that are not associated to field redefinitions nor to gauge transformations, have thus values that give rise to sharp physical effects.

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