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

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. 1. The symmetries of the classical two-dimensional Principal Chiral Model, one of the original toy models for… (More)

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