New Identities among Gauge Theory Amplitudes
N.E.J. Bjerrum-Bohr, Poul H. Damgaard, Bo Feng, Thomas Sondergaard

TL;DR
This paper explores the origins of non-linear identities in gauge theory amplitudes, linking them to gravity-gauge relations and extending the analysis to one-loop order in N=4 super Yang-Mills theory.
Contribution
It uncovers the connection between gauge amplitude identities and KLT relations, extending these insights to loop levels in supersymmetric theories.
Findings
Identifies non-linear identities in gauge theory amplitudes.
Connects these identities to KLT relations between gravity and gauge theories.
Extends the analysis to one-loop order in N=4 super Yang-Mills.
Abstract
Color-ordered amplitudes in gauge theories satisfy non-linear identities involving amplitude products of different helicity configurations. We consider the origin of such identities and connect them to the Kawai-Lewellen-Tye (KLT) relations between gravity and gauge theory amplitudes. Extensions are made to one-loop order of the full N=4 super Yang-Mills multiplet.
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