Local currents for the GL( N, C) self-dual Yang-Mills equation

Mathematics – Mathematical Physics

Scientific paper

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81E13, 53B50

Scientific paper

By using a simple Bäcklund-like transformation which linearizes the
GL( N, C) self-dual Yang-Mills equation, an infinite number of local
conservation laws for this equation are constructed. In the SL( N, C)
case, the currents become trivial, which explains why these currents are
not found in SU( N) gauge theory.

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