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

Abstract

It is shown that an action inspired from a BF and Chern-Simons model, based on the $Ad{S}_4$ 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 $Ad{S}_4$ 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 $Ad{S}_4$ space representing the higher spin extension of this model. Brief remarks on Noncommutative Gravity are made.

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

References in corpus (2)

• String Theory and Noncommutative Geometry
• Chern-Simons Hadronic Bag from Quenched Large-N QCD

Cited by in corpus (1)

• Perturbative BF theory