Commuting charges and symmetric spaces

Details Commuting charges and symmetric spaces Commuting charges and symmetric spaces

2000-03-28

arxiv.org/abs/hep-th/0003264v2

Phys.Lett. B483 (2000) 290-298

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 16 pages; v2: footnote added

Scientific paper

10.1016/S0370-2693(00)00566-9

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.

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