The Geometric Construction of WZW Effective Action in Non-commutative Manifold

Abstract

By constructing close one cochain density ${{\Omega }^1}_{2n}$ in the gauge group space we get WZW effective Lagrangian on high dimensional non-commutative space.Especially consistent anomalies derived from this WZW effective action in non-commutative four-dimensional space coincides with those by L.Bonora etc.

arXiv comment9 pages, latex, no figures