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arXiv · 0804.4418

Infinitely many conservation laws in self-dual Yang--Mills theory

C. Adam·J. Sanchez-Guillen·A. Wereszczynski
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Abstract

Using a nonlocal field transformation for the gauge field known as Cho--Faddeev--Niemi--Shabanov decomposition as well as ideas taken from generalized integrability, we derive a new family of infinitely many conserved currents in the self-dual sector of SU(2) Yang-Mills theory. These currents may be related to the area preserving diffeomorphisms on the reduced target space. The calculations are performed in a completely covariant manner and, therefore, can be applied to the self-dual equations in any space-time dimension with arbitrary signature.

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C. Adam, J. Sanchez-Guillen, A. Wereszczynski. 2008-07-09. Infinitely many conservation laws in self-dual Yang--Mills theory. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F014

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