Advances in Theoretical and Mathematical Physics

Volume 23 (2019)

Number 8

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

Pages: 2025 – 2059



A. S. Cattaneo (Institut für Mathematik, Universität Zürich, Switzerland)

M. Schiavina (Department of Mathematics, University of California at Berkeley; Institute for Theoretical Physics, ETH Zürich, Switzerland; and Department of Mathematics, ETH Zürich, Switzerland)


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.

This research was (partly) supported by the NCCR SwissMAP, funded by the Swiss National Science Foundation and by the COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). A.S.C. acknowledges the partial support of SNF grant No. 200020 172498/1. M.S. was supported by SNF grant No. P2ZHP2 164999.

Published 15 May 2020