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Symmetries and Covariant Poisson brackets on pre-symplectic manifolds

Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplectic structure, we describe a class of conserved charges on it associated to the momentum map determined by any symmetry group of transformations. Gauge theories are dealt with by using a symplectic regularization based on an application of Gotay's coisotropic embedding theorem. The analysis of Electrodynamics and of the Klein-Gordon theory illustrates the main results of the theory as well as the emergence of the energy-momentum tensor algebra of conserved currents.

preprint2021arXivOpen access
Florio M. CiagliaFabio Di CosmoAlberto IbortGiuseppe Marmoluca schiavoneAlessandro Zampini
math-phmath.MPmath.DG
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Florio M. CiagliaFabio Di CosmoAlberto IbortGiuseppe Marmoluca schiavoneAlessandro Zampini

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