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Asymptotic symmetries of Yang-Mills theory

  • Andrew Strominger
Open Access
Article

Abstract

Asymptotic symmetries at future null infinity (\( \mathrm{\mathcal{I}} \) +) of Minkowski space for electrodynamics with massless charged fields, as well as nonabelian gauge theories with gauge group G, are considered at the semiclassical level. The possibility of charge/color flux through \( \mathrm{\mathcal{I}} \) + 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 \( \mathrm{\mathcal{I}} \) + and are invariant under null translations. The Kac-Moody currents are constructed from the gauge field at the future boundary of \( \mathrm{\mathcal{I}} \) +. The current Ward identities include Weinberg’s soft photon theorem and its colored extension.

Keywords

Scattering Amplitudes Gauge Symmetry Classical Theories of Gravity 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Radcliffe Institute for Advanced StudyHarvard UniversityCambridgeU.S.A.

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