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We study the Kawai-Lewellen-Tye (KLT) relations for quantum field theory by reformulating it as an isomorphism between two Lie algebras.
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Elvang H., Freedman D.Z., Note on graviton MHV amplitudes,
2008
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Bjerrum-Bohr N.E.J., Damgaard P.H., Vanhove P., Minimal basis for gauge theory amplitudes,
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Mason L., Skinner D., Gravity, twistors and the MHV formalism,
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Geyer Y., Ambitwistor strings: worldsheet approaches to perturbative quantum field theories, Ph.D. Thesis, University of Oxford, 2016, available at
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2016
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Frost H., Mafra C.R., Mason L., A Lie bracket for the momentum kernel,
2012
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Kapranov M., The geometry of scattering amplitudes, Talk at Banff Workshop “The Geometry of Scattering Amplitudes”, 2012
2012
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Cachazo F., Skinner D., Gravity from rational curves in twistor space,
2013
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Cachazo F., He S., Yuan E.Y., Scattering of massless Particles in arbitrary dimension,
2014
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Cachazo F., Mason L., Skinner D., Gravity in twistor space and its Grassmannian formulation,
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Geyer Y., Lipstein A.E., Mason L., Ambitwistor strings in four dimensions,
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2017
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Cheung C., Shen C.-H., Symmetry for flavor-kinematics duality from an action,
2017
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Du Y.-J., Teng F., BCJ numerators from reduced Pfaffian,
2017
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Mizera S., Combinatorics and topology of Kawai–Lewellen–Tye relations,
2017
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Mizera S., Scattering amplitudes from intersection theory,
2018
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Frost H., Universal aspects of perturbative gauge theory amplitudes, Ph.D. Thesis, University of Oxford, 2020, available at
2020
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Mafra C.R., Private correspondence, 2020
2020
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Mafra C.R., Schlotterer O., One-loop open-string integrals from differential equations: all-order
2020
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