The zero-curvature representation for nonlinear O(3) sigma-model

A.G.Bytsko

The zero-curvature representation for nonlinear O(3) sigma-model

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arxiv hep-th/9403101 v1 pith:6MVIGLW2 submitted 1994-03-17 hep-th

A.G.Bytsko This is my paper · ORCID

classification hep-th

keywords poissonsigma-modelzero-curvatureadmitsallowsapproachbracketbrackets

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We consider O(3) sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-curvature equation which admits the fundamental Poisson bracket.

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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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