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BV-BFV approach to General Relativity, Einstein-Hilbert action
Published 18 Sep 2015 in math-ph, gr-qc, math.MP, and math.SG | (1509.05762v2)
Abstract: The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any $d + 1 \not= 2$ (pseudo-) Riemannian manifold M with space-like or time-like boundary components, the BV data on the bulk induces compatible BFV data on the boundary. As a byproduct, the usual canonical formulation of general relativity is recovered in a straightforward way.
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