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 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.

Año de publicación:

2002

Keywords:

• Gravity topology
• Gauge theories

Fuente:

scopus