Abstract It is shown in this paper how a connection may be made between the symmetry generators of the Hamiltonian (or potential) invariant under a symmetry group G, and the subcasimirs that come about when the rank of the Poisson structure of a dynamical system drops by an even integer. This kinematics-dynamics connection is made by using the algebraic geometry of the orbit space in the vicini...

To formulate gravity in spacetimes bounded by a null boundary, an arbitrary hypothetical surface, boundary degrees of freedom (d.o.f) should be added to account for the d.o.f and dynamics spacetime regions excised behind boundary. In D dimensional example, are labelled charges defined at D-2 spacelike slices While modes can have their own dynamics, interaction with bulk is governed flux-balance...