Anti de Sitter Gravity from BF-Chern-Simons-Higgs Theories
Carlos Castro
Abstract
It is shown that an action inspired from a BF and Chern-Simons model, based on the AdS4 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 AdS4 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 AdS4 space representing the higher spin extension of this model. Brief remarks on Noncommutative Gravity are made.
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