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We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory.
1915
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V. P. Nair, “A Current Algebra for Some Gauge Theory Amplitudes,” \href
1988
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Z. Bern, J. Rozowsky, and B. Yan, “Two-Loop Four-Gluon Amplitudes in 𝒩 = 4 \mathcal{N}\!=\!4 SuperYang-Mills,” \href
1997
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F. Gonzalez-Rey, I. Y. Park, and K. Schalm, “A Note on Four Point Functions of Conformal Operators in 𝒩 = 4 \mathcal{N}\!=\!4 SuperYang-Mills,” \href
1999
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B. Eden, P. S. Howe, C. Schubert, E. Sokatchev, and P. C. West, “Four Point Functions in 𝒩 = 4 \mathcal{N}\!=\!4 Supersymmetric Yang-Mills Theory at Two Loops,” \href
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B. Eden, P. S. Howe, C. Schubert, E. Sokatchev, and P. C. West, “Simplifications of Four Point Functions in 𝒩 = 4 \mathcal{N}\!=\!4 Supersymmetric Yang-Mills Theory at Two Loops,” \href
1999
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B. Eden, C. Schubert, and E. Sokatchev, “Three Loop four Point Correlator in 𝒩 = 4 \mathcal{N}\!=\!4 SYM,” \href
2000
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M. Bianchi, S. Kovacs, G. Rossi, and Y. S. Stanev, “Anomalous Dimensions in 𝒩 = 4 \mathcal{N}\!=\!4 SYM Theory at Order g 4 g^{4} ,” \href
2000
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C. Anastasiou, Z. Bern, L. J. Dixon, and D. A. Kosower, “Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory,” \href
2003
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Z. Bern, L. J. Dixon, and V. A. Smirnov, “Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond,” \href
2005
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L. F. Alday and J. M. Maldacena, “Gluon Scattering Amplitudes at Strong Coupling,” \href
2007
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Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower, and V. A. Smirnov, “The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory,” \href
2007
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2007
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2008
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2008
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2009
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2009
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N. Arkani-Hamed, F. Cachazo, and J. Kaplan, “What is the Simplest Quantum Field Theory?,” \href
2010
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N. Arkani-Hamed, F. Cachazo, C. Cheung, and J. Kaplan, “A Duality For The S S -Matrix,” \href
2012
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2012
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B. Eden, G. P. Korchemsky, and E. Sokatchev, “More on the Duality Correlators/Amplitudes,” \href
2012
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2012
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2010
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2010
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2010
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G. Brinkmann, O. D. Friedrichs, S. Lisken, A. Peeters, and N. Van Cleemput, “ CaGe
2010
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2011
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2013
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2013
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2013
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A. Hodges, “Eliminating Spurious Poles from Gauge-Theoretic Amplitudes,” \href
2013
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2015
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2015
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A. von Manteuffel and R. M. Schabinger, “A Novel Approach to Integration by Parts Reduction,” \href
2015
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Cambridge University Press, 2016
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, A. B. Goncharov, A. Postnikov, and J. Trnka, Grassmannian Geometry of Scattering Amplitudes · 2016
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