On the geometry of classically integrable two-dimensional non-linear sigma models

摘要

A master equation expressing the classical integrability of two-dimensionalnon-linear sigma models is found. The geometrical properties of this equationare outlined. In particular, a closer connection between integrability andT-duality transformations is emphasised. Finally, a whole new class ofintegrable non-linear sigma models is found and all their corresponding Laxpairs depend on a spectral parameter.