From the 1 of 13 linked papers with an AI index.
9 papers · 1 filter
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…
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…
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…
Gravity Coupled with Scalar, SU, and Spinor Fields on Manifolds with Null-Boundary
Alberto S. Cattaneo, Filippo Fila-Robattino, Valentino Huang +1
In this paper, we present a theory for gravity coupled with scalar, SU and spinor fields on manifolds with null-boundary. We perform the symplectic reduction of the space of b…