417 citations · 2.4k across the 99 of their papers we have counts for
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Constrained systems, generalized Hamilton-Jacobi actions, and quantization
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli
Mechanical systems (i.e., one-dimensional field theories) with constraints are the focus of this paper. In the classical theory, systems with infinite-dimensional targets are consi…
Gravitational Constraints on a Lightlike boundary
Giovanni Canepa, Alberto S. Cattaneo, Manuel Tecchiolli
We analyse the boundary structure of General Relativity in the coframe formalism in the case of a lightlike boundary, i.e., when the restriction of the induced Lorentzian metric to…
General Relativity and the AKSZ construction
Giovanni Canepa, Alberto S. Cattaneo, Michele Schiavina
In this note the AKSZ construction is applied to the BFV description of the reduced phase space of the Einstein-Hilbert and of the Palatini--Cartan theories in every space-time dim…
Boundary structure of General Relativity in tetrad variables
Giovanni Canepa, Alberto S. Cattaneo, Michele Schiavina
An explicit, geometric description of the first-class constraints and their Poisson brackets for gravity in the Palatini-Cartan formalism (in space-time dimension greater than thre…