Comments on the symmetry breaking condition in MacDowell-Mansouri action
arXiv:2010.12515 · doi:10.1142/S0218271821500656
Abstract
In this work we study the symmetry breaking conditions, given by a (anti)de Sitter-valued vector field, of a full (anti)de Sitter-invariant MacDowell-Mansouri inspired action. We show that under these conditions the action breaks down to General Relativity with a cosmological constant, the four dimensional topological invariants, as well as the Holst term. We obtain the equations of motion of this action, and analyze the symmetry breaking conditions.
9 pages