# 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}
}
• Published 24 July 2020
• Mathematics
• arXiv: High Energy Physics - Theory
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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