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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 S 1 × S 3 in detail.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    D. V. Bykov

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  1. D. V. Bykov
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Correspondence to D. V. Bykov.

Additional information

This work is supported by the Russian Science Foundation under grant 14-50-00005.

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 189, No. 3, pp. 380–388, December, 2016.

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Bykov, D.V. Cyclic gradings of Lie algebras and lax pairs for σ-models. Theor Math Phys 189, 1734–1741 (2016). https://doi.org/10.1134/S0040577916120060

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