Complex structures and zero-curvature equations for sigma-models

Dmitri Bykov

Complex structures and zero-curvature equations for sigma-models

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arxiv 1605.01093 v1 pith:QU6D3WZJ submitted 2016-05-03 hep-th math-phmath.DGmath.MP

Complex structures and zero-curvature equations for sigma-models

Dmitri Bykov This is my paper

classification hep-th math-phmath.DGmath.MP

keywords complexequationssigma-modelssymmetriczero-curvaturecaseclassconnection

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We construct zero-curvature representations for the equations of motion of a class of sigma-models with complex homogeneous target spaces, not necessarily symmetric. We show that in the symmetric case the proposed flat connection is gauge-equivalent to the conventional one.

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