Regular Article - Theoretical Physics
New gauge anomalies and topological invariants in various dimensions
Department of Physics, CERN Theory Division, 1211, Geneva 23, Switzerland
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Published online: 6 September 2012
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, which we compare with the corresponding transformations of the Chern–Simons secondary characteristics. This construction allows to identify new potential gauge anomalies in various dimensions.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012