2018/03/31 by Marc Henneaux, Cédric Troessaert · 2 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep05(2018)137
published as J. High Energ. Phys. (2018) 2018: 137 · 30 pages
arxiv created 2018/05/29 · arxiv updated 2018/05/30
We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent u(1)-gauge transformations. These symmetries generically have non-vanishing charges. The algebra of the canonical generators of this infinite-dimensional symmetry with the Poincaré charges is computed. The treatment requires the addition of surface degrees of freedom at infinity and a modification of the standard symplectic form by surface terms. We extend the general formulation of well-defined generators and Hamiltonian vector fields to encompass such boundary modifications of the symplectic structure. Our study covers magnetic monopoles.