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

✍ Scribed by Yao-Zhong Zhang

• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 295 KB
• Volume: 26
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00420755

✦ 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.