Commuting charges and symmetric spaces

Abstract

Every classical sigma-model with target space a compact symmetric space $G/H$ (with $G$ classical) is shown to possess infinitely many local, commuting, conserved charges which can be written in closed form. The spins of these charges run over a characteristic set of values, playing the role of exponents of $G/H$, and repeating modulo an integer $h$ which plays the role of a Coxeter number.

LaTeX, 16 pages; v2: footnote added

References in corpus (1)

• Sigma models as perturbed conformal field theories

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