From the 1 of 13 linked papers with an AI index.
13 papers
The reduced Dirac structure of General Relativity on manifolds with corners
Alberto S. Cattaneo, Filippo Fila-Robattino, Manuel Tecchiolli
The paper derives the Poisson structure on the corners of four‑dimensional Palatini‑Cartan gravity, constructs a reduced Dirac structure for corner fields, and shows its equivalenc…
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…
From algebroids to spaces: Part I
Alberto S. Cattaneo, Shuhan Jiang
The notion of spaces over dg manifolds is developed. An equivalence between the category of transitive algebroids and that of spaces is established…
BV pushforward as a quasi-isomorphism
Alberto S. Cattaneo, Pavel Mnev
Given a BV theory on a space of fields split into two subspaces ("infrared" and "ultraviolet"), one has the BV pushforward map , sending observables to observables of the effe…
The Reduced Phase Space of Supergravity in the BV-BFV formalism
Alberto S. Cattaneo, Filippo Fila-Robattino
This paper describes the reduced phase space of , supergravity in the fully off-shell Palatini--Cartan formalism. This is achieved through the KT construction, allowing…
Surface Observables, -Knot Invariants, and Nonabelian Electric Fluxes
Alberto S. Cattaneo
This work introduces a surface observable for nonabelian four-dimensional theory with a cosmological term. The surface observable yields new -knot invariants that may exten…