Abstract
The infinite-parameter "hidden symmetry" algebra for the complex self-dual Yang-Mills fields is extended from to . Furthermore, we also find an infinite set of infinitesimal "hidden symmetry" transformations, indexed by all integers, which can maintain the reality of the self-dual Yang-Mills potentials. Their infinite-parameter Lie algebra is shown to be related to an infinitedimensional symmetric space with isotropy group .
- Received 30 July 1982
DOI:https://doi.org/10.1103/PhysRevD.26.3581
©1982 American Physical Society