Hidden Symmetries of the Principal Chiral Model and a Nonstandard Loop Algebra
arXiv:hep-th/9701059 · doi:10.1016/S0370-2693(97)01420-2
Abstract
We examine the precise structure of the loop algebra of `dressing' symmetries of the Principal Chiral Model, and discuss a new infinite set of abelian symmetries of the field equations which preserve a symplectic form on the space of solutions.
5 pages, latex; changed title and slight textual revisions; to be published in Phys. Lett. B