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Representation theory and integration of nonlinear spherically symmetric equations to gauge theories

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Abstract

A constructive proof of complete integrability of spherically symmetric self-dual equations in Euclidean spaceR 4 for an arbitrary embedding of SU(2) in an arbitrary gauge groupG is given on the base of Lax-type representation and representation theory. The equations are solved explicitly for the case of simple Lie groupsG.

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Authors and Affiliations

  1. Institute for High Energy Physics, Serpukhov, USSR

    A. N. Leznov & M. V. Saveliev

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  1. A. N. Leznov
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  2. M. V. Saveliev
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Communicated by Ya. G. Sinai

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Leznov, A.N., Saveliev, M.V. Representation theory and integration of nonlinear spherically symmetric equations to gauge theories. Commun.Math. Phys. 74, 111–118 (1980). https://doi.org/10.1007/BF01197753

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