Chern-Simons Gravities (CSG) and Gravitational Chern-Simons (GCS) densities in all dimensions
Abstract
Chern-Simons gravities and gravitational Chern-Simons densities are constructed using the non-Abelian Yang-Mills Chern-Simons densities. As such, they are defined only in odd dimensions. We propose instead an analogous construction employing what we term Higgs--Chern-Simons (HCS) densities, which are defined in . This enables the definition of extended versions of Chern-Simons gravities in all dimensions. Employing the same prescription, the definition of gravitational Chern-Simons densities is extended to all even dimensions, but only to dimensions. All our considerations are restricted to fields.
Keywords
Cite
@article{arxiv.1712.05190,
title = {Chern-Simons Gravities (CSG) and Gravitational Chern-Simons (GCS) densities in all dimensions},
author = {D. H. Tchrakian},
journal= {arXiv preprint arXiv:1712.05190},
year = {2019}
}
Comments
15 pages. Talk given at XVII International Conference on Symmetry Methods in Physics (Symphys XVII), Yerevan, Armenia, 09-15 July, 2017. Replacement includes added references and explanations