Kac-Moody algebra in the self-dual Yang-Mills equation
Journal Article
·
· Phys. Rev. D; (United States)
In the J formulation of self-dual Yang-Mills equations, we propose a parametric infinitesimal transformation, which generates new solutions from any old ones and satisfies the equations of the Bianchi-Baecklund transformation with parameter. Expanding in the parameter, we obtain an infinite number of transformations, all of which leave the self-dual Yang-Mills equation invariant. We discuss the group properties for these transformations, and find that they form a Lie group, to which the Lie algebra is an infinite-dimensional Kac-Moody algebra, a mathematical structure encountered in the recent development of principal chiral theories.
- Research Organization:
- Physics Department, Brookhaven National Laboratory, Upton, New York 11973
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 5608012
- Journal Information:
- Phys. Rev. D; (United States), Vol. 25:4
- Country of Publication:
- United States
- Language:
- English
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