Publications

@CaLISTA authors:

• In all your works you should add the sentence This article/publication is based upon work from COST Action CaLISTA CA21109 supported by COST (European Cooperation in Science and Technology). www.cost.eu.
  Guidelines for COST acknowledgement
• Please complete the form to submit your article/publication for inclusion on this page: https://forms.gle/rVSSoU4oeMjRp9vo6

WG2 and WG3

Rita Fioresi, Maria A. Lledo, Junaid Razzaq

Quantum Chiral Superfields

We study the supersymmetric extension of the conformal symmetry and ordinary super spacetime over the complex field. The different types of superspaces can all be seen Grassmannians or flag supermanifolds (that is, sets of subspaces of a given space). We introduce non commutative coordinates in (super) spacetime in such a way that the symmetries are preserved. In order to do so, the symmetry (super) group become also non commutative space or 'quantum group'.

DOI: 10.1088/1742-6596/2531/1/012015

WG1

Johnson Allen Kessy, Dennis The

On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class

A well-known classical result due to Sophus Lie is the classification of scalar ODEs with maximal and submaximal symmetry. Proving analogous results for vector ODEs in fully generality is not feasible using Lie-theoretic techniques. Instead, Cartan geometric and representation-theoretic tools are used to completely resolve the problem for vector ODEs in the so-called C-class.

DOI: https://doi.org/10.3842/SIGMA.2023.058

Rita Fioresi, Bin Shu

Basic quasi-reductive root data and supergroups

arxiv: https://arxiv.org/pdf/2303.18065.pdf

Nathan Couchet, Robert Yuncken

A groupoid approach to the Wodzicki residue

arxiv: https://arxiv.org/pdf/2303.15787.pdf

Vladislav G. Kupriyanov, Alexey A. Sharapov, Richard J. Szabo

Symplectic Groupoids and Poisson Electrodynamics

arxiv: https://arxiv.org/pdf/2308.07406.pdf

Keegan J. Flood, Mauro Mantegazza, Henrik Winther

Symbols in Noncommutative Geometry

arxiv: https://arxiv.org/pdf/2308.00835.pdf

R. Fioresi, A. Marraffa, J. Petkovic

A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub-Riemannian Hamiltonian formalism

arxiv: https://arxiv.org/pdf/2304.00084.pdf

Indranil Biswas, Benjamin McKay

Locally homogeneous holomorphic geometric structures on Moishezon manifolds

arxiv: https://arxiv.org/abs/2302.13649

Benjamin McKay

An introduction to Cartan geometries

arxiv: https://arxiv.org/pdf/2302.14457.pdf

R. Fioresi, F. Zanchetta

Deep Learning and Geometric Deep Learning: an introduction for mathematicians and physicists

arxiv: https://arxiv.org/pdf/2305.05601.pdf

Laurenţiu Bubuianu, Douglas Singleton, Sergiu. I. Vacaru

Nonassociative black holes in R-flux deformed phase spaces and relativistic models of G. Perelman thermodynamics

arxiv: https://arxiv.org/pdf/2207.05157.pdf

Ivan Dimitrov, Rita Fioresi

Generalied root systems

arxiv: https://arxiv.org/pdf/2308.06852.pdf

P. Aschieri, R. Fioresi, E. Latini, T. Weber

Differential Calculi on Quantum Principal Bundles over Projective Bases

arxiv: https://arxiv.org/pdf/2110.03481.pdf

WG3

Milagrosa Aldana, María A. Lledó

The fuzzy bit

In this paper we revise the idea of appliying fuzzy sets to quantum theory. It is established that, appropriately using a particular Universe of discourse, Quantum Mechanics can be expressed as a theory of fuzzy sets, according to a result by Pycakz for quantum logics in general.

DOI: https://doi.org/10.3390/sym15122103

on Simmetry vol. 15 year 2023