Hidden Symmetries of the Principal Chiral Model and A Nonstandard Loop Algebra

Chand Devchand and Jeremy Schiff

Physics Letters B418 155-159 (1998).

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.