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The reduced Dirac structure of General Relativity on manifolds with corners
Alberto S. Cattaneo, Filippo Fila-Robattino, Manuel Tecchiolli
In this paper, the corner Poisson structure of four-dimensional Palatini-Cartan gravity is derived. Building on the classical description of gravity on manifolds with boundary, spe…
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…
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…
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…
BV description of , Supergravity in the first order formalism
Alberto S. Cattaneo, Filippo Fila-Robattino
This note examines the BV formulation of , supergravity in the first-order Palatini--Cartan framework. Challenges in achieving an off-shell formulation are addressed by…