Cyclic gradings of Lie algebras and lax pairs for σ-models
- Authors: Bykov D.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 189, No 3 (2016)
- Pages: 1734-1741
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170877
- DOI: https://doi.org/10.1134/S0040577916120060
- ID: 170877
Cite item
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.
Keywords
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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