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Local conserved charges in principal chiral models

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arxiv hep-th/9902008 v2 pith:SWOYLQ4Z submitted 1999-01-31 hep-th

J. M. Evans , M. Hassan , N. J. MacKay , A. J. Mountain This is my paper · ORCID
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Local conserved charges in principal chiral models in 1+1 dimensions are investigated. There is a classically conserved local charge for each totally symmetric invariant tensor of the underlying group. These local charges are shown to be in involution with the non-local Yangian charges. The Poisson bracket algebra of the local charges is then studied. For each classical algebra, an infinite set of local charges with spins equal to the exponents modulo the Coxeter number is constructed, and it is shown that these commute with one another. Brief comments are made on the evidence for, and implications of, survival of these charges in the quantum theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Integrable Structure of the SU(2) Wess-Zumino-Novikov-Witten Model

    hep-th 2026-01 conditional novelty 7.0 of 10

    A new family of commuting local conserved charges in the SU(2) WZNW model is constructed for the first four spins and shown to agree with Bethe-ansatz and ODE/quantum-field-theory predictions.

  2. 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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