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

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

2008-04-28

arxiv.org/abs/0804.4418v2

JHEP0809:014,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, extensively revised version. One section on previous results and some references added

Scientific paper

10.1088/1126-6708/2008/09/014

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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