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Permutability property for self-dual Yang-Mills fields

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Abstract

A permutability property for Bäcklund transformations of the self-dual SU(2) Yang-Mills fields is shown to exist. We give a superposition-type formula, whose iteration permits the simple algebraic construction of solutions of the self-dual Yang-Mills equations.

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References

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Authors and Affiliations

  1. Department of Physics, Brookhaven National Laboratory, 11973, Upton, NY, U.S.A.

    L. -L. Chau

  2. Departmento de Métodos Matemáticos, Facultad de Ciencias Físicas, Universidad Complutense, 28040, Madrid, Spain

    F. J. Chinea

Authors
  1. L. -L. Chau
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  2. F. J. Chinea
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Additional information

This Letter has been authored under contract DE-AC02-76H00016 with the U.S. Department of Energy.

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Chau, L.L., Chinea, F.J. Permutability property for self-dual Yang-Mills fields. Lett Math Phys 12, 189–192 (1986). https://doi.org/10.1007/BF00416508

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  • DOI: https://doi.org/10.1007/BF00416508

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