Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2021)002
Keywords
Scattering Amplitudes; Supersymmetric Gauge Theory
Categories
Funding
- US Department of Energy [DE-SC0010010]
- Simons Investigator Award [376208]
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In this paper, we study the symbol alphabets of n-particle amplitudes in N = 4 super-Yang-Mills theory, solving the CZ = 0 matrix equations associated with the totally non-negative Grassmannian using methods from previous works. We identify sets of parameterizations that produce solutions for specific cells and determine the origins of algebraic letters through plabic graphs.
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 CZ = 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.
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