Symbol alphabets from plabic graphs III: n = 9

Journal Article · 31 August 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2021)002 · OSTI ID:1851283

Mago, J. ^[1]; Schreiber, A. ^[2]; Spradlin, M. ^[3]; Srikant, A. Yelleshpur ^[4]; Volovich, A. ^[4]

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1. Brown Univ., Providence, RI (United States). Dept. of Physics; Brown Univ., Providence, RI (United States)
2. Univ. of Oxford (United Kingdom). The Mathematical Inst.
3. Brown Univ., Providence, RI (United States). Dept. of Physics; Brown Univ., Providence, RI (United States). Brown Theoretical Physics Center
4. Brown Univ., Providence, RI (United States). Dept. of Physics

Symbol alphabets of n-particle amplitudes in N = 4 super-Yang-Mills theory are known to contain certain cluster variables of G(4, n) as well as certain algebraic functions of cluster variables. In this paper we solve the C Z = 0 matrix equations associated to several cells of the totally non-negative Grassmannian, combining methods of arXiv:2012.15812 for rational letters and arXiv:2007.00646 for algebraic letters. We identify sets of parameterizations of the top cell of G₊(5, 9) for which the solutions produce all of (and only) the cluster variable letters of the 2-loop nine-particle NMHV amplitude, and identify plabic graphs from which all of its algebraic letters originate.

• Research Organization: Brown Univ., Providence, RI (United States); Brown University, Providence, RI (United States)
• Sponsoring Organization: Simons Foundation; USDOE Office of Science (SC); USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010010
• OSTI ID: 1851283
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2021; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English