BV-BFV approach to General Relativity: Palatini-Cartan-Holst action

Abstract

We show that the Palatini--Cartan--Holst formulation of General Relativity in tetrad variables must be complemented with additional requirements on the fields when boundaries are taken into account for the associated BV theory to induce a compatible BFV theory on the boundary.

22 pages. Corrected typos in some formulae. Minor aesthetic fixes

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