Symmetries and Covariant Poisson Brackets on Presymplectic Manifolds

Author:

Ciaglia Florio M.ORCID,Di Cosmo FabioORCID,Ibort AlbertoORCID,Marmo GiuseppeORCID,Schiavone LucaORCID,Zampini AlessandroORCID

Abstract

As the space of solutions of the first-order Hamiltonian field theory has a presymplectic structure, we describe a class of conserved charges associated with the momentum map, determined by a symmetry group of transformations. A gauge theory is dealt with by using a symplectic regularization based on an application of Gotay’s coisotropic embedding theorem. An analysis of electrodynamics and of the Klein–Gordon theory illustrate the main results of the theory as well as the emergence of the energy–momentum tensor algebra of conserved currents.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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