A Master Equation for Multi-Dimensional Non-Linear Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12pages, DAMTP R-92/24, SNUTP 92-86

Scientific paper

10.1016/0370-2693(92)91260-G

A master equation ( $n$ dimensional non--Abelian current conservation law with mutually commuting current components ) is introduced for multi-dimensional non-linear field theories. It is shown that the master equation provides a systematic way to understand 2-d integrable non-linear equations as well as 4-d self-dual equations and, more importantly, their generalizations to higher dimensions.

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