Differential geometry construction of anomalies and topological invariants in various dimensions
Abstract
In the model of extended non-Abelian tensor gauge fields we have found new metric-independent densities: the exact (2n+3)-forms and their secondary characteristics, the (2n+2)-forms as well as the exact 6n-forms and the corresponding secondary (6n-1)-forms. These forms are the analogs of the Pontryagin densities: the exact 2n-forms and Chern-Simons secondary characteristics, the (2n-1)-forms. The (2n+3)- and 6n-forms are gauge invariant densities, while the (2n+2)- and (6n-1)-forms transform non-trivially under gauge transformations, that we compare with the corresponding transformations of the Chern-Simons secondary characteristics. This construction allows to identify new potential gauge anomalies in various dimensions.
Keywords
Cite
@article{arxiv.1205.0027,
title = {Differential geometry construction of anomalies and topological invariants in various dimensions},
author = {Ignatios Antoniadis and George Savvidy},
journal= {arXiv preprint arXiv:1205.0027},
year = {2012}
}
Comments
27 pages, references added, matches published version