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.
arXiv comment9 pages
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