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Title: 2D Kac-Moody symmetry of 4D Yang-Mills theory

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 in nity. 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. Furthermore, the Kac-Moody transformations are a CPT invariant subgroup of gauge transformations which act nontrivially at null in nity and comprise the four-dimensional asymptotic symmetry group.
Authors:
 [1] ;  [1] ;  [1]
  1. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Grant/Contract Number:
FG02-91ER40654
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
President & Fellows of Harvard College, Cambridge, MA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge Symmetry; Scattering Amplitudes; Spontaneous Symmetry Breaking
OSTI Identifier:
1362020

He, Temple, Mitra, Prahar, and Strominger, Andrew. 2D Kac-Moody symmetry of 4D Yang-Mills theory. United States: N. p., Web. doi:10.1007/JHEP10(2016)137.
He, Temple, Mitra, Prahar, & Strominger, Andrew. 2D Kac-Moody symmetry of 4D Yang-Mills theory. United States. doi:10.1007/JHEP10(2016)137.
He, Temple, Mitra, Prahar, and Strominger, Andrew. 2016. "2D Kac-Moody symmetry of 4D Yang-Mills theory". United States. doi:10.1007/JHEP10(2016)137. https://www.osti.gov/servlets/purl/1362020.
@article{osti_1362020,
title = {2D Kac-Moody symmetry of 4D Yang-Mills theory},
author = {He, Temple and Mitra, Prahar and Strominger, Andrew},
abstractNote = {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 in nity. 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. Furthermore, the Kac-Moody transformations are a CPT invariant subgroup of gauge transformations which act nontrivially at null in nity and comprise the four-dimensional asymptotic symmetry group.},
doi = {10.1007/JHEP10(2016)137},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}