2017/12/31 by D. H. Tchrakian
Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Chern–Simons theory #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #Gravitation #Higgs boson #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1134/s1063778818060297
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
arxiv created 2018/01/01 · openalex publication_date 2018/11/01 · arxiv updated 2019/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 all dimensions . 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 4 p − 1 odd dimensions. All our considerations are restricted to vacuum fields.