26 citations · 246 across the 27 of their papers we have counts for
27 papers
Perturbative algebraic quantum field theory with smoothened boundary
Kasia Rejzner, Michele Schiavina
We formulate quantisation of gauge field theories on globally hyperbolic Lorentzian manifolds with marked hypersurfaces within the framework of perturbative algebraic quantum field…
Phase spaces in field theory: Reduction vs. resolution
Aldo Riello, Michele Schiavina
In this note we review the concept of phase space in classical field theory, discussing several variations on the basic notion, as well as the relation between them. In particular…
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…
Gravity with torsion as deformed theory
Alberto S. Cattaneo, Leon Menger, Michele Schiavina
We study a family of (possibly non topological) deformations of theory for the Lie algebra obtained by quadratic extension of by an orthogonal module. The…
BV Quantization
Alberto S. Cattaneo, Pavel Mnev, Michele Schiavina
This note gives an overview of the BV formalism in its various incarnations and applications.
Perturbative BF theory in axial, Anosov, gauge
Michele Schiavina, Thomas Stucker
The twisted Ruelle zeta function of a contact, Anosov vector field is shown to be equal, as a meromorphic function of the complex parameter and up to a phase,…
Null Hamiltonian Yang-Mills theory: Soft symmetries and memory as superselection
Aldo Riello, Michele Schiavina
Soft symmetries for Yang-Mills theory are shown to correspond to the residual Hamiltonian action of the gauge group on the Ashtekar-Streubel phase space, which is the result of a p…
Hamiltonian gauge theory with corners: constraint reduction and flux superselection
Aldo Riello, Michele Schiavina
We study gauge theories on spacetime manifolds with a codimension- submanifold with boundary. We characterise the reduced phase space of the theory whenever it is described by a…
A Lie-Rinehart algebra in general relativity
Christian Blohmann, Michele Schiavina, Alan Weinstein
We construct a Lie-Rinehart algebra over an infinitesimal extension of the space of initial value fields for Einstein's equations. The bracket relations in this algebra are precise…
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…
BV analysis of Polyakov and Nambu-Goto theories with boundary
S. Martinoli, M. Schiavina
The Batalin-Vilkovisky data for Polyakov string theory on a manifold with (non-null) boundary is shown to induce compatible Batalin--Fradkin--Vilkovisky data, thus allowing BV-quan…
Generalized Spontaneous Symmetry Breaking
Sinéad M. Griffin, Michele Schiavina
We propose a new type of symmetry breaking mechanism that takes boundaries into account, and show how it can detect surface modes by interpreting them as the order parameter associ…
General Relativity and the AKSZ construction
Giovanni Canepa, Alberto S. Cattaneo, Michele Schiavina
In this note the AKSZ construction is applied to the BFV description of the reduced phase space of the Einstein-Hilbert and of the Palatini--Cartan theories in every space-time dim…
Asymptotic symmetries in the BV-BFV formalism
Kasia Rejzner, Michele Schiavina
We show how to derive asymptotic charges for field theories on manifolds with "asymptotic" boundary, using the BV-BFV formalism. We also prove that the conservation of said charges…
Ruelle zeta function from field theory
Charles Hadfield, Santosh Kandel, Michele Schiavina
We propose a field-theoretic interpretation of Ruelle zeta function, and show how it can be seen as the partition function for theory when an unusual gauge fixing condition on…
Boundary structure of General Relativity in tetrad variables
Giovanni Canepa, Alberto S. Cattaneo, Michele Schiavina
An explicit, geometric description of the first-class constraints and their Poisson brackets for gravity in the Palatini-Cartan formalism (in space-time dimension greater than thre…
Fully extended BV-BFV description of General Relativity in three dimensions
Giovanni Canepa, Michele Schiavina
We compute the extension of the BV theory for three-dimensional General Relativity to all higher-codimension strata - boundaries, corners and vertices - in the BV-BFV framework. Mo…
Towards holography in the BV-BFV setting
Pavel Mnev, Michele Schiavina, Konstantin Wernli
We show how the BV-BFV formalism provides natural solutions to descent equations, and discuss how it relates to the emergence of holographic counterparts of given gauge theories. F…
Kähler fibrations in quantum information theory
Ivan Contreras, Michele Schiavina
We discuss the fibre bundle of co-adjoint orbits of compact Lie groups, and show how it admits a compatible Kähler structure. The case of the unitary group allows us to reformulate…
BV-equivalence between triadic gravity and BF theory in three dimensions
Alberto S. Cattaneo, Michele Schiavina, Iswaryaa Selliah
The triadic description of General Relativity in three dimensions is known to be a BF theory. Diffeomorphisms, as symmetries, are easily re- covered on shell from the symmetries of…
BV-BFV approach to General Relativity: Palatini-Cartan-Holst action
Alberto S. Cattaneo, Michele Schiavina
We show that the Palatini--Cartan--Holst formulation of General Relativity in tetrad variables must be complemented with additional requirements on the fields when boundaries are t…
The reduced phase space of Palatini-Cartan-Holst theory
Alberto S. Cattaneo, Michele Schiavina
General relativity in four dimensions can be reformulated as a gauge theory, referred to as Palatini-Cartan-Holst theory. This paper describes its reduced phase space using a geome…
On time
Alberto S. Cattaneo, Michele Schiavina
This note describes the restoration of time in one-dimensional parameterization-invariant (hence timeless) models, namely the classically-equivalent Jacobi action and gravity coupl…
BV-BFV approach to General Relativity, Einstein-Hilbert action
Alberto S. Cattaneo, Michele Schiavina
The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any (pseudo-) Riemannian man…