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

Bykov, Dmitri

doi:10.1016/j.nuclphysb.2015.03.005

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

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Bykov, Dmitri
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Bykov, D. (2015). Integrable properties of sigma-models with non-symmetric target spaces. Nuclear Physics B, 894, 254-267. doi:10.1016/j.nuclphysb.2015.03.005.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0024-6378-3

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.