Classical solutions of a flag manifold sigma-model

Dmitri Bykov

Classical solutions of a flag manifold sigma-model

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arxiv 1506.08156 v1 pith:5OCX7AOW submitted 2015-06-26 hep-th math.DG

Dmitri Bykov This is my paper · ORCID

classification hep-thmath.DG

keywords classicalflagmanifoldmodelsigma-modelsolutionsspacetarget

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We study a sigma-model with target space the flag manifold U(3)/U(1)^3. A peculiarity of the model is that the complex structure on the target space enters explicitly in the action. We describe the classical solutions of the model for the case when the worldsheet is a sphere CP^1.

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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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