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arXiv · hep-th/0201225

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

Carlos Castro
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Abstract

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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Carlos Castro. 2002-04-11. Anti de Sitter Gravity from BF-Chern-Simons-Higgs Theories. https://doi.org/10.1142/s0217732302008721

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