A Remark on the Geometry of Two-Dimensional Anisotropic Non-Linear Sigma-Models

Abstract

One discusses here the connection between σ-model gauge anomalies and the existence of a connection with torsion that does not flatten the Ricci tensor of the target manifold, by considering a number of non-symmetric coset spaces. The influence of an eventual anisotropy on a certain direction of the target manifold is also contemplated.

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