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

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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Bibliographic Details
Published inTheoretical and mathematical physics Vol. 189; no. 3; pp. 1734 - 1741
Main Author Bykov, D. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2016
Springer Nature B.V
Subjects
Applications of Mathematics
Curvature
Lie groups
Mathematical and Computational Physics
Physics
Physics and Astronomy
Representations
Theoretical
model
integrable system
complex structure
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577916120060