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Commuting charges and symmetric spaces

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arxiv hep-th/0003264 v2 pith:AJGHFHYB submitted 2000-03-28 hep-th

classification hep-th
keywords chargesclassicalcommutingrolespacesymmetriccharacteristicclosed
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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.

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Cited by 1 Pith paper

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  1. Particle production in a light-cone gauge fixed Jordanian deformation of $AdS_5\times S^5$

    hep-th 2024-12 conditional novelty 6.0 of 10

    In the light-cone gauge-fixed Jordanian deformation of AdS5×S5, on-shell cubic vertices produce nonzero 1-to-2 and 2-to-1 scattering processes, indicating particle production.

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