Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups
Oct, 200630 pages
Published in:
- JHEP 01 (2007) 100
e-Print:
- hep-th/0610115 [hep-th]
Report number:
- FTI-UCM-80-2006
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Abstract:
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.- 11.15.-q
- 14.80.Hv
- 11.10.Nx
- solitons
- monopoles and instantons
- non-commutative geometry
- gauge field theory: SU(2)
- gauge field theory: SU(3)
- gauge field theory: SO(5)
- field theory: scalar
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