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math-ph2024★ 1 cited
Jacobi algebroids and Jacobi sigma models
Fabio Di Cosmo, Katarzyna Grabowska, Janusz Grabowski
The definition of an action functional for the Jacobi sigma models, known for Jacobi brackets of functions, is generalized to \emph{Jacobi bundles}, i.e., Lie brackets on sections…
hep-th2024
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…