9 citations · 12 across the 15 of their papers we have counts for
15 papers
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…
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…
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…
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…
4D Palatini-Cartan Gravity in Hamiltonian Form
Giovanni Canepa, Alberto S. Cattaneo
In this note the Hamiltonian formulation of four-dimensional gravity, in the Palatini-Cartan formalism, is recovered by elimination of an auxiliary field appearing as part of the c…
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…
Equivariant localization in Batalin-Vilkovisky formalism
Alberto S. Cattaneo, Shuhan Jiang
We derive equivariant localization formulas of Atiyah--Bott and cohomological field theory types in the Batalin-Vilkovisky formalism and discuss their applications in Poisson geome…
3D Supergravity in the Batalin-Vilkovisky Formalism
Alberto S. Cattaneo, Nima Moshayedi, Alberto Smailovic Funcasta
Three-dimensional supergravity in the Batalin-Vilkovisky formalism is constructed by showing that the theory including the Rarita-Schwinger term is equivalent to an AKSZ theory.
Equivariant BV-BFV Formalism
Alberto S. Cattaneo, Nima Moshayedi
The recently introduced equivariant BV formalism is extended to the case of manifolds with boundary under appropriate conditions. AKSZ theories are presented as a practical example…
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…
BV equivalence with boundary
Francisco Manuel Castela Simão, Alberto S. Cattaneo, Michele Schiavina
An extension of the notion of classical equivalence of equivalence in the Batalin--(Fradkin)--Vilkovisky (BV) and (BFV) framework for local Lagrangian field theory on manifolds pos…
Non-symplectic involutions on manifolds of -type
Chiara Camere, Alberto Cattaneo, Andrea Cattaneo
We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a surface and admitting a non-symplectic involution. We classify t…