Abstract
Asymptotic symmetries at future null infinity (I+) of Minkowski space for electrodynamics with massless charged fields, as well as non-Abelian gauge theories with gauge group G, are considered at the semiclassical level. The possibility of charge/color flux through I+ suggests the symmetry group is infinite-dimensional. It is conjectured that the symmetries include a G Kac-Moody symmetry whose generators are "large" gauge transformations which approach locally holomorphic functions on the conformal two-sphere at I+ and are invariant under null translations. The Kac-Moody currents are constructed from the gauge field at the future boundary of I+. The current Ward identities include Weinberg's soft photon theorem and its colored extension.
Highlights
JHEP07(2014)151 the global SL(2, C) subalgebra of BMS to two local Virasoro algebras, leading to a new “extended BMS symmetry”
It is conjectured that the symmetries include a G Kac-Moody symmetry whose generators are “large” gauge transformations which approach locally holomorphic functions on the conformal two-sphere at I+ and are invariant under null translations
Unlike BMS, BPZ allowed symmetries with analytic singularities, which leads to two Virasoro algebras
Summary
We consider a U(1) gauge theory coupled to massless charged matter. This has the gauge symmetry δεAμ = ∂μεwith the periodicity ε ∼ ε + 2π. In a theory with massless electrically charged particles which reach I+, QE will depend on the choice of Σ. We specialize to the case where there are no incoming charges, namely on I−. This means the incoming state is annihilated by the local charge current. This is semiclassically consistent with nontrivial outgoing charge fluxes on I+, subject to the restriction that the total integrated charge flux must vanish because the system reverts to the vacuum. We expect it is both possible and interesting to extend our analysis to more general cases
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