  In this work we present the construction of a renormalized symplectic form on
an extended phases space where the higher order large gauge transformations act
canonically. The expressions of the sub$^n$-leading electric charges associated
to each $O(r^n)$ LGT are then obtained, in agreement with the expressions
previously proposed in arXiv:1810.04619 by means of the tree-level
sub$^n$-leading formulas. We also present the duality extension of the extended
phase space, computing the full electromagnetic charge algebra, showing a tower
of central extensions.
