Chern–Simons Gravities (CSG) and Gravitational Chern–Simons (GCS) Densities in All Dimensions View Full Text


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Article Info

DATE

2018-11

AUTHORS

D. H. Tchrakian

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 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 4p − 1 odd dimensions. All our considerations are restricted to vacuum fields. More... »

PAGES

930-938

References to SciGraph publications

  • 1978-12. Spherically symmetric solitons in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1980-02. Space-time symmetries in gauge theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2014-06-24. Covariant quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1134/s1063778818060297

    DOI

    http://dx.doi.org/10.1134/s1063778818060297

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