22 citations · 22 across the 5 of their papers we have counts for
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Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories
Goffredo Chirco, Lucio Vacchiano, Patrizia Vitale
We study a symmetry-reduced sector of gravity formulated as an Chern--Simons theory on a three-dimensional manifold with toroidal boundary. The reduction is imple…
The electromagnetic field in Poisson gauge theory: the groupoidal approach
Fabio Di Cosmo, Vladislav G. Kupriyanov, Patrizia Vitale
We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in ter…
Jacobi Sigma Models and Twisted Jacobi Structures
Francesco Bascone, Franco Pezzella, Patrizia Vitale
Jacobi sigma models are two-dimensional topological non-linear field theories which are associated with Jacobi structures. The latter can be considered as a generalization of Poiss…
Symplectic realizations and Lie groupoids in Poisson Electrodynamics
Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo +1
We define the gauge potentials of Poisson electrodynamics as sections of a symplectic realization of the spacetime manifold and infinitesimal gauge transformations as a representat…
Introduction to noncommutative field and gauge theory
Patrizia Vitale, Martina Adamo, Roukaya Dekhil +1
These are lecture notes for an introductory course on noncommutative field and gauge theory. We begin by reviewing quantum mechanics as the prototypical noncommutative theory, as w…
Lie-Poisson gauge theories and -Minkowski electrodynamics
V. G. Kupriyanov, M. A. Kurkov, P. Vitale
We consider gauge theories on Poisson manifolds emerging as semiclassical approximations of noncommutative spacetime with Lie algebra type noncommutativity. We prove an important i…