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Symmetries of the self-dual Yang-Mills equations

Published online by Cambridge University Press:  17 April 2009

Rod Halburd
Rod Halburd
Affiliation:
School of Mathematics, University of New South Wales, Kensington NSW 2033, Australia
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Abstract

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It has been conjectured by R. S. Ward that the self-dual Yang-Mills Equations (SDYMEs) form a “master system” in the sense that most known integrable ordinary and partial differential equations are obtainable as reductions. We systematically construct the group of symmetries of the SDYMEs on R4 with semisimple gauge group of finite dimension and show that this yields only the well known gauge and conformal symmetries.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 151 - 158
Copyright
Copyright © Australian Mathematical Society 1994

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