New Chern-Simons densities in both odd and even dimensions
arXiv:1101.5068
Abstract
After reviewing briefly the dimensional reduction of Chern--Pontryagin densities, we define new Chern--Simons densities expressed in terms of Yang-Mills and Higgs fields. These are defined in all dimensions, including in even dimensional spacetimes. They are constructed by subjecting the dimensionally reduced Chern--Pontryagin densites to further descent by two steps.
10 pages, contribution to Sergey Matinyan Festschrift, World Scientific