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We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory.
1902
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1906
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O. Steinmann, “Über den Zusammenhang zwischen den Wightmanfunktionen und der retardierten Kommutatoren,” Helv. Phys. Acta 33
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O. Steinmann, “Wightman-Funktionen und retardierten Kommutatoren II,” Helv. Phys. Acta 33
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K. E. Cahill and H. P. Stapp, “OPTICAL THEOREMS AND STEINMANN RELATIONS,” Annals Phys. 90
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E. Sklyanin, “Some algebraic structures connected with the Yang-Baxter equation,” Funct. Anal. Appl. 16
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B. Leclerc and A. Zelevinsky, “Quasicommuting families of quantum Plücker coordinates,” Adv. Math. Sci. (Kirillov’s seminar), AMS Translations 181, 85 (1998)
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S. Fomin and A. Zelevinsky, “Cluster algebras I: Foundations,” J. Am. Math. Soc. 15
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M. Gekhtman, M. Z. Shapiro and A. D. Vainshtein, Mosc. Math. J. 3
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,” Phys. Rev. D 72
2005
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A. B. Goncharov, “Galois symmetries of fundamental groupoids and noncommutative geometry,” Duke Math. J. 128
2005
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J. S. Scott, “Grassmanniand and cluster algebras,” Proc. London Math. Soc. 92
2006
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2009
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A. Hodges, “Eliminating spurious poles from gauge-theoretic amplitudes,” JHEP 05
2013
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2013
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2014
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2014
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J. Golden and M. Spradlin, “A Cluster Bootstrap for Two-Loop MHV Amplitudes,” JHEP 02
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2009
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2010
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2010
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2010
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2010
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L. F. Alday, D. Gaiotto and J. Maldacena, “Thermodynamic Bubble Ansatz,” JHEP 09
2011
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Cited in the paper.
2015
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2015
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2017
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2018
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2019
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J. Drummond, J. Foster and Ö. Gürdoğan, “Cluster adjacency beyond MHV,” JHEP 03
2019
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2019
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