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

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Abstract

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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  1. C. J. Papachristou

    Present address: , 13 Pafou St., 10446, Athens, Greece

Authors and Affiliations

  1. Department of Physics and Astronomy, Brigham Young University, 84602, Provo, UT, USA

    C. J. Papachristou & B. Kent Harrison

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  1. C. J. Papachristou
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  2. B. Kent Harrison
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Papachristou, C.J., Harrison, B.K. Local currents for the GL(N, C) self-dual Yang-Mills equation. Lett Math Phys 17, 285–288 (1989). https://doi.org/10.1007/BF00399751

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  • DOI: https://doi.org/10.1007/BF00399751

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