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Symbol alphabets of n-particle amplitudes in N=4 super-Yang-Mills theory are known to contain certain cluster variables of Gr(4,n) as well as certain algebraic functions of cluster variables.
1907
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1911
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1912
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1912
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1912
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S. Fomin and A. Zelevinsky, “Cluster algebras I: Foundations,” J. Am. Math. Soc. 15
2002
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2002
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S. Fomin and A. Zelevinsky, “Cluster algebras II: Finite type classification,” Invent. Math. 154
2003
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2005
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J. S. Scott, “Grassmannians and Cluster Algebras,” Proc. Lond. Math. Soc. (3) 92
2006
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J. Mago, A. Schreiber, M. Spradlin and A. Volovich, “Symbol alphabets from plabic graphs,” JHEP 10
2007
Cited alongside, same era.
S. He and Z. Li, “A Note on Letters of Yangian Invariants,” [arXiv:2007.01574 [hep-th]]
2007
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2008
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2009
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2012
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A. Hodges, “Eliminating spurious poles from gauge-theoretic amplitudes,” JHEP 05
2013
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2014
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M. F. Paulos and B. U. W. Schwab, “Cluster Algebras and the Positive Grassmannian,” JHEP 10
2014
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2009
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2010
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N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, “A Duality For The S Matrix,” JHEP 03
2010
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2010
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J. M. Drummond and L. Ferro, “The Yangian origin of the Grassmannian integral,” JHEP 1012
2010
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A. Postnikov, “Total Positivity, Grassmannians, and Networks,” arXiv:math/0609764
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Cited in the paper.
S. He and Z. Li, private communication
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2016
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2017
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2018
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2018
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