  Gauge theories and perturbative gravity in four dimensions are governed by a
tower of infinite-dimensional symmetries which arise from tree-level soft
theorems. However, aside from the leading soft theorems which are all-loop
exact, subleading ones receive loop corrections due to long-range infrared
effects which result in new soft theorems with logarithmic dependence on the
energy of the soft particle. The conjectured universality of these logarithmic
soft theorems to all loop orders cries out for a symmetry interpretation. In
this letter we initiate a program to compute long-range infrared corrections to
the charges that generate the asymptotic symmetries in (scalar) QED and
perturbative gravity. For late-time fall-offs of the electromagnetic and
gravitational fields which give rise to infrared dressings for the matter
fields, we derive finite charge conservation laws and show that in the quantum
theory they correspond precisely to the first among the infinite tower of
logarithmic soft theorems. This symmetry interpretation, by virtue of being
universal and all-loop exact, is a key element for a holographic principle in
spacetimes with flat asymptotics.
