Alberto S. Cattaneo
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View article: The role of graph topology in the performance of biomedical Knowledge Graph Completion models
The role of graph topology in the performance of biomedical Knowledge Graph Completion models Open
Motivation Knowledge Graph Completion has been increasingly adopted as a useful method for helping address several tasks in biomedical research, such as drug repurposing or drug–target identification. To that end, a variety of datasets and…
View article: BV Pushforward of Palatini-Cartan gravity
BV Pushforward of Palatini-Cartan gravity Open
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 compatible with BFV data on the boundary.
View article: 3D Supergravity in the Batalin–Vilkovisky Formalism
3D Supergravity in the Batalin–Vilkovisky Formalism Open
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.
View article: Applying cognitive theory of multimedia learning principles to augmented reality and its effects on cognitive load and learning outcomes
Applying cognitive theory of multimedia learning principles to augmented reality and its effects on cognitive load and learning outcomes Open
In the last decade, the use of augmented reality as a learning support tool has been extensively researched, largely due to the proliferation of augmented reality-compatible smartphones. However, findings related to cognitive load levels r…
View article: BV description of $N = 1$, $D = 4$ Supergravity in the first order formalism
BV description of $N = 1$, $D = 4$ Supergravity in the first order formalism Open
This note examines the BV formulation of $N=1$, $D=4$ supergravity in the first-order Palatini--Cartan framework. Challenges in achieving an off-shell formulation are addressed by introducing corrections to the rank 2 BV action, offering i…
View article: Rootfinding and Optimization Techniques for Solving Nonlinear Systems of Equations Arising from Cohesive Zone Models
Rootfinding and Optimization Techniques for Solving Nonlinear Systems of Equations Arising from Cohesive Zone Models Open
While approaches to model the progression of fracture have received significant attention, methods to find the solution to the associated nonlinear equations have not. In general, nonlinear solution methods and optimization methods have a …
View article: Gravity coupled with scalar, $\mathrm{SU}(\mathrm{n})$, and spinor fields on manifolds with Null-Boundary
Gravity coupled with scalar, $\mathrm{SU}(\mathrm{n})$, and spinor fields on manifolds with Null-Boundary Open
In this paper, we present a theory for gravity coupled with scalar, SU$(n)$ and spinor fields on manifolds with null-boundary. We perform the symplectic reduction of the space of boundary fields and give the constraints of the theory in te…
View article: BV Quantization - Encyclopedia of Math Phys
BV Quantization - Encyclopedia of Math Phys Open
This note gives an overview of the BV formalism in its various incarnations and applications.
View article: Equivariant BV-BFV Formalism
Equivariant BV-BFV Formalism Open
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.
View article: Boundary Structure of the Standard Model Coupled to Gravity
Boundary Structure of the Standard Model Coupled to Gravity Open
In this article a description of the reduced phase space of the standard model coupled to gravity is given. For space or time-like boundaries this is achieved as the reduction of a symplectic space with respect to a coisotropic submanifold…
View article: The Role of Graph Topology in the Performance of Biomedical Knowledge Graph Completion Models
The Role of Graph Topology in the Performance of Biomedical Knowledge Graph Completion Models Open
Knowledge Graph Completion has been increasingly adopted as a useful method for helping address several tasks in biomedical research, such as drug repurposing or drug-target identification. To that end, a variety of datasets and Knowledge …
View article: Gravity with torsion as deformed BF theory <sup>*</sup>
Gravity with torsion as deformed BF theory <sup>*</sup> Open
We study a family of (possibly non topological) deformations of BF theory for the Lie algebra obtained by quadratic extension of by an orthogonal module. The resulting theory, called quadratically extended General Relativity (qeGR…
View article: Gravity with torsion as deformed $BF$ theory
Gravity with torsion as deformed $BF$ theory Open
We study a family of (possibly non topological) deformations of $BF$ theory for the Lie algebra obtained by quadratic extension of $\mathfrak{so}(3,1)$ by an orthogonal module. The resulting theory, called quadratically extended General Re…
View article: A note on gluing via fiber products in the (classical) BV-BFV formalism
A note on gluing via fiber products in the (classical) BV-BFV formalism Open
In classical field theory, gluing spacetime manifolds along boundary corresponds to taking a fiber product of the corresponding spaces of fields (as differential graded Fréchet manifolds) up to homotopy. We construct this homotopy explicit…
View article: Boundary structure of the standard model coupled to gravity
Boundary structure of the standard model coupled to gravity Open
In this article a description of the reduced phase space of the standard model coupled to gravity is given. For space or time-like boundaries this is achieved as the reduction of a symplectic space with respect to a coisotropic submanifold…
View article: BV Quantization
BV Quantization Open
This note gives an overview of the BV formalism in its various incarnations and applications.
View article: Phase space for gravity with boundaries
Phase space for gravity with boundaries Open
This explanatory note, based on the geometrical method by Kijovski and Tulczyjew, describes the construction of the reduced phase space of Lagrangian field theories, i.e., the correct space of initial conditions with its symplectic structu…
View article: Graded geometry and generalized reduction
Graded geometry and generalized reduction Open
We present general reduction procedures for Courant, Dirac and generalized complex structures, in particular when a group of symmetries is acting. We do so by taking the graded symplectic viewpoint on Courant algebroids and carrying out gr…