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2021

Cluster Superalgebras and Stringy Integrals

Gates, Jr., S. James, Mak, S. -N. Hazel, Spradlin, Marcus et al.

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We take some initial steps to explore physical applications of the cluster superalgebras recently defined by Ovsienko and Shapiro.

Our primary example is a fermionic extension of the $A_2$ cluster algebra, having fifteen cluster supervariables instead of the usual five.
We also explore an alternate definition of cluster superalgebras based on the promotion of cluster variables to superfields.

Cluster Superalgebras and Stringy Integrals · Around

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Then

J. Golden, A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, “Motivic Amplitudes and Cluster Coordinates,” JHEP
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2014
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2017
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2012

Cited alongside, same era.

S. Charlton, H. Gangl and D. Radchenko, “Functional equations of polygonal type for mulitiple polylogarithms in weights 5, 6 and 7,” arXiv:2012.09840 [math.NT]

2012

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V. Ovsienko, “Cluster superalgebras,” [arXiv:1503.01894 [math.CO]]

Cited in the paper.

L. Li, J. Mixco, B. Ransingh and A. K. Srivastava, “An Introduction to Supersymmetric Cluster Algebras,” [arXiv:1708.03851 [math.RA]]

Cited in the paper.

V. Ovsienko and M. Shapiro, “Cluster algebras with Grassmann variables,” [arXiv:1809.01860 [math.CO]]

Cited in the paper.

N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, A. B. Goncharov, A. Postnikov and J. Trnka, “Grassmannian Geometry of Scattering Amplitudes,” [arXiv:1212.5605 [hep-th]]

Cited in the paper.

G. Musiker, N. Ovenhouse and S. W. Zhang, “Double Dimer Covers on Snake Graphs from Super Cluster Expansions,” [arXiv:2110.06497 [math.CO]]

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N. H. Abel, “Note sur la fonction

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2019

Later among the works it cites.

G. Musiker, N. Ovenhouse and S. W. Zhang, “An Expansion Formula for Decorated Super-Teichmüller Spaces,” SIGMA

2021

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