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The classical r-matrix method for nonlinear sigma-model

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abstract

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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2019 1

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

hep-th · 2019-09-02 · conditional · novelty 7.0

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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  • Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets hep-th · 2019-09-02 · conditional · none · ref 16 · internal anchor

    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.