On the phase space of first-order gravity (general relativity) in a local formulation that allows to decompose spacetime into pieces and then re-glue (BV-BFV formalism):
Michele Schiavina, BV-BFV approach to general relativity (2015) [pdf, pdf]
Alberto Cattaneo, Michele Schiavina, BV-BFV approach to General Relativity, Einstein-Hilbert action, J. Math. Phys. 57 023515 (2016) [arXiv:1509.05762, doi:10.1063/1.4941410]
Alberto Cattaneo, Michele Schiavina, The reduced phase space of Palatini-Cartan-Holst theory, Ann. Henri Poincaré 20 (2019) 445 [arXiv:1707.05351, doi:10.1007/s00023-018-0733-z]
Alberto Cattaneo, Michele Schiavina, BV-BFV approach to General Relativity: Palatini-Cartan-Holst action, Adv. Theor. Math. Phys. 23 (2019) 1801-1835 [arXiv:1707.06328, doi:10.4310/ATMP.2019.v23.n8.a3]
Alberto S. Cattaneo, Phase space for gravity with boundaries, Encyclopedia of Mathematical Physics (2023) [arXiv:2307.04666]
and relation to BF-theory:
Discussion of the Nambu-Goto action and Polyakov action on worldsheets with boundary (i.e. in the generality of open strings) and cast in BV-BRST formalism:
On the relativistic particle, and related systems, in BV-BRST formalism:
On BV quantization:
On reduced phase spaces and BV-BFV formalism with emphasis on the generality of manifolds with corners:
On perturbative algebraic quantum field theory:
Last revised on August 21, 2026 at 14:32:06. See the history of this page for a list of all contributions to it.