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

Abstract

This note describes a local Poisson structure (up to homotopy) associated with 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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    Last time updated on 08/11/2023