96 citations · 1.7k across the 84 of their papers we have counts for
85 papers
Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of -Minkowski
Giuseppe Fabiano, Giulia Gubitosi, Fedele Lizzi +2
We discuss the quantum Poincaré symmetries of the -Minkowski spacetime, a space characterised by an angular form of noncommutativity. We show that it is possible to give t…
On the classical Integrability of Poisson-Lie T-dual WZW models
Francesco Bascone, Franco Pezzella, Patrizia Vitale
We consider the integrability of a two-parameter deformation of the Wess-Zumino-Witten model, previously introduced in relation with Poisson-Lie T-duality. The resulting family of…
Poisson gauge models and Seiberg-Witten map
V. G. Kupriyanov, M. A. Kurkov, P. Vitale
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to t…
The Mass Hyperboloid as a Poisson-Lie Group
S. G. Rajeev, Patrizia Vitale
The light cone formalism of a massive scalar field has been shown by Dirac to have many advantages. But it is not manifestly Lorentz invariant. We will show that this is a feature…
Localization and observers in -Minkowski spacetime
Fedele Lizzi, Luca Scala, Patrizia Vitale
We consider the -Minkowski spacetime, a model with linear noncommutativity involving the time and the azimuthal angle. We study its quantum symmetries, the -Poinc…
Monotone metric tensors in Quantum Information Geometry
Florio M. Ciaglia, Fabio Di Cosmo, Fabio Di Nocera +1
We review some geometrical aspects pertaining to the world of monotone quantum metrics in finite dimensions. Particular emphasis is given to an unfolded perspective for quantum sta…