5 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…
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…
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…
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…
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…