Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism
arXiv:2202.08684 · doi:10.1007/s00023-023-01360-8
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 theory is also described.
arXiv comment45 pages. Some minor corrections. Close to published version
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