22 citations · 72 across the 13 of their papers we have counts for
11 papers · 1 filter
Corner Quantization of 4D Theory
Giovanni Canepa, Alberto S. Cattaneo, Filippo Fila-Robattino +1
This note studies the quantized corner structure of four-dimensional theory, classifies the associated free and physical corner algebras and constructs possible representation…
BV Pushforward of Palatini-Cartan gravity
Giovanni Canepa, Alberto S. Cattaneo
The goal of this note is to show that the standard BV formulation of gravity in the Palatini-Cartan formalism is equivalent, using a BV pushforward, to an AKSZ-like version compati…
On the properties of coframes
Giovanni Canepa
We consider injectivity and surjectivity of some maps on the exterior algebra of isomorphic finite-dimensional vector spaces. We prove the properties of the maps in full generality…
Double BFV quantisation of 3d Gravity
Giovanni Canepa, Michele Schiavina
We extend the cohomological setting developed by Batalin, Fradkin and Vilkovisky (BFV), which produces a resolution of coisotropic reduction in terms of hamiltonian dg manifolds, t…
Boundary structure of the standard model coupled to gravity
Giovanni Canepa, Alberto S. Cattaneo, Filippo Fila-Robattino +1
In this article a description of the reduced phase space of the standard model coupled to gravity is given. For space or time-like boundaries this is achieved as the reduction of a…
Boundary structure of gauge and matter fields coupled to gravity
Giovanni Canepa, Alberto S. Cattaneo, Filippo Fila-Robattino
The boundary structure of -dimensional gravity (in the Palatini-Cartan formalism) coupled to to gauge (Yang-Mills) and matter (scalar and spinorial) fields is described throug…
Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism
Giovanni Canepa, Alberto S. Cattaneo
This note describes a local Poisson structure (up to homotopy) associated to corners in four-dimensional gravity in the coframe (Palatini--Cartan) formalism. This is achieved throu…
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…
Fully extended BV-BFV description of General Relativity in three dimensions
Giovanni Canepa, Michele Schiavina
We compute the extension of the BV theory for three-dimensional General Relativity to all higher-codimension strata - boundaries, corners and vertices - in the BV-BFV framework. Mo…