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Comments on the symmetry breaking condition in MacDowell-Mansouri action (2010.12515v3)

Published 23 Oct 2020 in hep-th, math-ph, and math.MP

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.

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