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Self-dual Yang-Mills fields ind=7,8, octonions and ward equations

✍ Scribed by T. A. Ivanova; A. D. Popov

Publisher: Springer
Year: 1992
Tongue: English
Weight: 283 KB
Volume: 24
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00402672

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✦ Synopsis

The Yang Mills theories in d = 7 and d = 8 with the arbitrary gauge group G are considered.

Generalized self-duality-type relations for gauge fields are reduced to systems of nonlinear differential equations on functions of one variable (Ward equations). Ward equations may be reduced to equations which follow from Yang Baxter equations. This permits us to obtain new classes of explicit solutions of the Yang-Mills equations in d = 7 and d = 8.

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