Currents and superpotentials in classical gauge theories: II. Global aspects and the example of affine gravity

摘要: The conserved charges associated to gauge symmetries are defined at a boundary component of space-time because the corresponding Noether current can be rewritten on-shell as divergence superpotential. However, latter is afflicted by ambiguities. Regge and Teitelboim found procedure lift arbitrariness in Hamiltonian framework. An alternative covariant formula was proposed one us for an arbitrary variation superpotential, it depends only on equations motion symmetry under consideration. Here we emphasize that order compute charges, enough stay spacetime, without requiring any hypothesis about bulk or other components, so may speak holographic charges. It well known asymptotic lead really infinity, but choice conditions surface terms action usually determined through integration parts whereas each should considered separately. We treat example gravity (for dimension, with cosmological constant), formulated Affine theory which natural generalization Palatini Cartan-Weyl (vielbein) first formulations. then show superpotential Dirichlet condition metric (the needed asymptotically flat