Dirac-Yang monopoles and their regular counterparts

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The Dirac-Yang monopoles are singular Yang--Mills field configurations in all Euclidean dimensions. The regular counterpart of the Dirac monopole in D=3 is the t Hooft-Polyakov monopole, the former being simply a gauge transform of the asymptotic fields of the latter. Here, regular counterparts of Dirac-Yang monopoles in all dimensions, are described. In the first part of this talk the hierarchy of Dirac--Yang (DY) monopoles will be defined, in the second part the motivation to study these in a topoical context will be briefly presented, and in the last part, two classes of regular counterparts to the DY hierarchy will be presented.
Talk given at SYMPHYS XII, July 2006, Yerevan, Armenia. To appear in Proceedings, eds. L. Mardoyan and G. Pogosyan, in special issue of Yadernaya Fizika

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