Anti de Sitter Gravity from BF-Chern-Simons-Higgs Theories

Details Anti de Sitter Gravity from BF-Chern-Simons-Higgs Theories Anti de Sitter Gravity from BF-Chern-Simons-Higgs Theories

2002-01-28

arxiv.org/abs/hep-th/0201225v2

Mod.Phys.Lett. A17 (2002) 2095-2103

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, plain Tex, Revised. References are are added

Scientific paper

10.1142/S0217732302008721

It is shown that an action inspired from a BF and Chern-Simons model, based on the $AdS_4$ isometry group SO(3, 2), with the inclusion of a Higgs potential term, furnishes the MacDowell-Mansouri-Chamseddine-West action for gravity, with a Gauss-Bonnet and cosmological constant term. The $AdS_4$ space is a natural vacuum of the theory. Using Vasiliev's procedure to construct higher spin massless fields in AdS spaces and a suitable star product, we discuss the preliminary steps to construct the corresponding higher-spin action in $AdS_4$ space representing the higher spin extension of this model. Brief remarks on Noncommutative Gravity are made.

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