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High Energy Physics - Theory, hep-th,Mathematics, Differential Geometry, math.DG
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.
