Spherically symmetric equations in gauge theories for an arbitrary semisimple compact lie group |
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Authors: | AN Leznov MV Saveliev |
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Institution: | Institute for High Energy Physics, Serpukhov, USSR |
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Abstract: | An explicit construction of spherically symmetric equations (not only static and/or self-dual) in gauge theories for the minimal embedding of SU(2) in an arbitrary semisimple compact Lie group G is given. The final equations are written in a form containing only gauge invariant quantities in R2. The whole group structure is concentrated in the only matrix, which is directly related to the Cartan matrix of G. In particular, the developed technique allows to generalize the Witten duality equation 1] and to obtain the spectrum of pointlike solutions in G. |
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