Edge modes of gravity. Part III. Corner simplicity constraints

@article{Freidel2020EdgeMO,
  title={Edge modes of gravity. Part III. Corner simplicity constraints},
  author={Laurent Freidel and Marc Geiller and Daniele Pranzetti},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
In the tetrad formulation of gravity, the so-called simplicity constraints play a central role. They appear in the Hamiltonian analysis of the theory, and in the Lagrangian path integral when constructing the gravity partition function from topological BF theory. We develop here a systematic analysis of the corner symplectic structure encoding the symmetry algebra of gravity, and perform a thorough analysis of the simplicity constraints. Starting from a precursor phase space with Poincare and… 
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