On Torsion and Nieh-Yan Form

Abstract

Using the well-known Chern-Weil formula and its generalization, we systematically construct the Chern-Simons forms and their generalization induced by torsion as well as the Nieh-Yan (N-Y) forms. We also give an argument on the vanishing of integration of N-Y form on any compact manifold without boundary. A systematic construction of N-Y forms in D=4n dimension is also given.

7 pages, latex, no figures

Cited by in corpus (5)

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• The Holst Action by the Spectral Action Principle
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• Generalizations of the Nieh-Yan topological invariant