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Cyclic gradings of Lie algebras and lax pairs for σ-models


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Abstract

We study a class of σ-models with complex homogeneous target spaces and zero-curvature representations. We find a relation between these models and σ-models with certain m-symmetric target spaces. We also describe a model with the hypercomplex target space S1 × S3 in detail.

About the authors

D. V. Bykov

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: dbykov@mi.ras.ru
Russian Federation, Moscow

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