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.

11 pages, title changed, a new example of coset space was added that elucidates our claim