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

He, Temple; Mitra, Prahar; Strominger, Andrew

doi:10.1007/JHEP10(2016)137

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

Journal Article · Tue Oct 25 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2016)137· OSTI ID:1362020

He, Temple ^[1]; Mitra, Prahar ^[2]; Strominger, Andrew ^[2]

Harvard Univ., Cambridge, MA (United States); Center for the Fundamental Laws of Nature, Harvard University, Cambridge, MA 02138
Harvard Univ., Cambridge, MA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: President & Fellows of Harvard College, Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-91ER40654

OSTI ID:: 1362020

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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