Scattering amplitudes of any four-dimensional theory with nonabelian gauge group G may be recast as two-dimensional correlation functions on the asymptotic twosphere at null infinity. The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity of a holomorphic two-dimensional G-Kac-Moody symmetry acting on these correlation functions. Holomorphic Kac-Moody current insertions are positive helicity soft gluon insertions. The Kac-Moody transformations are a CPT invariant subgroup of gauge transformations which act nontrivially at null infinity and comprise the four-dimensional asymptotic symmetry group.
CITATION STYLE
He, T., Mitra, P., & Strominger, A. (2016). 2D Kac-Moody symmetry of 4D Yang-Mills theory. Journal of High Energy Physics, 2016(10). https://doi.org/10.1007/JHEP10(2016)137
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