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

Abstract

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.

45 pages. Some minor corrections. Close to published version

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Cited by in corpus (1)

• Boundary structure of the standard model coupled to gravity