Symmetries and Covariant Poisson Brackets on Presymplectic Manifolds Articles uri icon

publication date

  • January 2022

start page

  • 1

end page

  • 28

issue

  • 1, 70

volume

  • 14

International Standard Serial Number (ISSN)

  • 2073-8994

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.

subjects

  • Mathematics

keywords

  • multisymplectic geometry; presymplectic manifolds; coisotropic embeddings