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Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism

Giovanni Canepa, Alberto S. Cattaneo

17/2/22 Published in : arXiv:2202.08684

This note describes a local Poisson structure (up to homotopy) associated to corners in four-dimensional gravity in the coframe (Palatini--Cartan) formalism. This is achieved through the use of the BFV formalism. The corner structure contains in particular an Atiyah algebroid that couples the internal symmetries to diffeomorphisms. The relation with BF theory is also described.

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