Chern–Simons Gravities (CSG) and Gravitational Chern–Simons (GCS) Densities in All Dimensions
@article{Tchrakian2017ChernSimonsG, title={Chern–Simons Gravities (CSG) and Gravitational Chern–Simons (GCS) Densities in All Dimensions}, author={D. H. Tchrakian}, journal={Physics of Atomic Nuclei}, year={2017}, volume={81}, pages={930-938} }
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…
7 Citations
A Higgs–Chern–Simons gravity model in 2 + 1 dimensions
- PhysicsClassical and Quantum Gravity
- 2018
We study a gravity model in 2 + 1 dimensions, arising from a generalized Chern–Simons (CS) density we call a Higgs–Chern–Simons (HCS) density. This generalizes the construction of gravitational…
Higgs-Chern-Simons Gravity Models in d = 2n + 1 Dimensions
- PhysicsSymmetry
- 2020
We consider a family of new Higgs–Chern–Simons (HCS) gravity models in 2n+1 dimensions (n=1,2,3). This provides a generalization of the (usual) gravitational Chern–Simons (CS) gravities resulting…
A remark on black holes of Chern–Simons gravities in 2n + 1 dimensions: n = 1,2,3
- MathematicsInternational Journal of Modern Physics A
- 2020
A systematic prescription for constructing Chern–Simons gravities in all odd dimensions is given, and it is shown that Chern–Simons gravities in [Formula: see text] dimensions admit solutions…
Embedding Gauss-Bonnet Scalarization Models in Higher Dimensional Topological Theories
- PhysicsSymmetry
- 2021
It is pointed out that families of such functions naturally emerge in the context of Higgs–Chern–Simons gravity models, which are found as dimensionally descents of higher dimensional, purely topological, Chern–Pontryagin non-Abelian densities.
Gravitational Chern–Simons, and Chern–Simons Gravity in All Dimensions
- Materials SciencePhysics of Particles and Nuclei Letters
- 2020
The construction of Chern–Simons gravities (CSG) and gravitational Chern–Simons densities (GCS) are considered. Since both these are definied \documentclass[12pt]{minimal} \usepackage{amsmath}…
Interactions in MacDowell-Mansouri Gravitation
- Physics
- 2019
In this bachelor thesis, possible kinetic terms and couplings of standard fields in MacDowell-Mansouri-Stelle-West gravity are studied with some aspects of group theory in mind. Possible obstructions…
References
SHOWING 1-10 OF 27 REFERENCES
Higgs-and Skyrme–Chern–Simons densities in all dimensions
- Physics
- 2015
Two types of new Chern–Simons (CS) densities, both defined in all odd and even dimensions, are proposed. These new CS densities feature a scalar field interacting with the gauge field. In one case…
A non-Abelian Chern-Simons–Yang-Mills-Higgs systemin 3 + 1 dimensions
- Physics
- 2014
We study spherically symmetric solutions of an SO(5) Chern-Simons–Yang-Mills-Higgs system in 3 + 1
dimensions. The Chern-Simons densities are defined in terms of both Yang-Mills fields and a…
Chern–Simons forms in gravitation theories
- Physics
- 2012
The Chern–Simons (CS) form evolved from an obstruction in mathematics into an important object in theoretical physics. In fact, the presence of CS terms in physics is more common than one may think:…
Chern-Simons modification of general relativity
- Physics
- 2003
General relativity is extended by promoting the three-dimensional gravitational Chern-Simons term to four dimensions. This entails choosing an embedding coordinate v_\mu -- an external quantity,…
Notes on Yang–Mills–Higgs monopoles and dyons on , and Chern–Simons–Higgs solitons on : dimensional reduction of Chern–Pontryagin densities
- Physics
- 2011
We review work on the construction of Monopoles in higher dimensions. These are solutions to a particular class of models descending from Yang–Mills systems on even-dimensional bulk, with spheres as…
New Chern-Simons densities in both odd and even dimensions
- Physics
- 2011
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…
Electrically charged finite energy solutions of an SO(5) and an SU(3) Higgs–Chern–Simons-Yang–Mills–Higgs system in 3+1 dimensions
- Physics
- 2015
We study spherically symmetric finite energy solutions of two Higgs–Chern–Simons-Yang–Mills–Higgs (HCS-YMH) models in 3+1 dimensions, one with gauge group SO(5) and the other with SU(3). The…