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Affine Yang-Mills theory and affine self-dual Chern-Simons Solitons

โœ Scribed by Yao-Zhong Zhang


Publisher
Springer
Year
1992
Tongue
English
Weight
295 KB
Volume
26
Category
Article
ISSN
0377-9017

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โœฆ Synopsis


A four-dimensional atone Yang-Mills theory, i.e. Yang-Mills gauge theory with values in an affme Kac-Moody algebra, is constructed which can give rise to a spontaneous breakdown of the affine symmetry. The affine self-dual Yang-Mills equation (which is a special kind of affine YM theory) in four dimensions is dimensionally reduced to the affme self-dual Chern-Simons equation in two dimensions. The latter is shown to have soliton solutions which satisfy the conformal affine Toda equations.

Mathematics Subject Classifications (1991). 81T13, 17B67.


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