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 $alldimensions$. 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 $4p-1$ $odd$ dimensions. All our considerations are restricted to $vacuum$ fields.

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

References in corpus (2)

• Magnetic Mass in 4D AdS Gravity
• Covariant Quiver Gauge Theories

Cited by in corpus (3)

• A remark on black holes of Chern-Simons gravities in $2n+1$ dimensions: $n=1,2,3$
• Interactions in MacDowell-Mansouri Gravitation
• Embedding Gauss-Bonnet scalarization models in higher dimensional topological theories