Comments on the symmetry breaking condition in MacDowell-Mansouri action
I. D\'iaz-Salda\~na, M. Sabido, J. C. L\'opez-Dom\'inguez, J. E., Rosales-Quintero
TL;DR
This paper examines the symmetry breaking conditions in a MacDowell-Mansouri inspired action, showing how they lead to General Relativity with additional topological terms.
Contribution
It provides a detailed analysis of the symmetry breaking conditions in the MacDowell-Mansouri framework and their implications for deriving General Relativity.
Findings
The action reduces to General Relativity with a cosmological constant.
The action includes four-dimensional topological invariants and the Holst term.
Equations of motion are derived and analyzed under symmetry breaking conditions.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.