Integrable properties of sigma-models with non-symmetric target spaces

Dmitri Bykov

doi:10.1016/j.nuclphysb.2015.03.005

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arXiv · 1412.3746

Integrable properties of sigma-models with non-symmetric target spaces

Dmitri Bykov

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Abstract

It is well-known that sigma-models with symmetric target spaces are classically integrable. At the example of the model with target space the flag manifold U(3)/U(1)^3 -- a non-symmetric space -- we show that the introduction of torsion allows to cast the equations of motion in the form of a zero-curvature condition for a one-parametric family of connections, which can be a sign of integrability of the theory. We also elaborate on geometric aspects of the proposed model.

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Dmitri Bykov. 2014-12-11. Integrable properties of sigma-models with non-symmetric target spaces. https://doi.org/10.1016/j.nuclphysb.2015.03.005

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