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The classical r-matrix method for nonlinear sigma-model

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arxiv hep-th/9509030 v1 pith:J5PMAEOI submitted 1995-09-07 hep-th

Alexey Sevostyanov (Steklov Mathematical Institute) This is my paper · ORCID
classification hep-th
keywords nonlinearpoissonr-matrixsigma-modelstructurebracketcanonicalclassical
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The canonical Poisson structure of nonlinear sigma-model is presented as a Lie-Poisson r-matrix bracket on coadjoint orbits. It is shown that the Poisson structure of this model is determined by some `hidden singularities' of the Lax matrix.

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  1. Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets

    hep-th 2019-09 conditional novelty 7.0 of 10

    Classical sigma-models on para-complex Z_T-cosets admit an ultralocal, gauge-invariant Lax connection whose light-cone components Poisson-commute, extending earlier results for hermitian symmetric spaces.

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