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Properties of HYMNs in examples of four-color, five-color, and six-color adinkras
Journal article   Peer reviewed

Properties of HYMNs in examples of four-color, five-color, and six-color adinkras

S. James Gates, Yangrui Hu and Kory Stiffler
International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.36(13), p.2150082
05/10/2021
DOI: 10.1142/S0217751X21500822
url
https://arxiv.org/pdf/2010.14659View
Open Access

Abstract

The mathematical concept of a "Banchoff index" associated with discrete Morse functions for oriented triangular meshes has been shown to correspond to the height assignments of nodes in adinkras. In recent work there has been introduced the concept of "Banchoff matrices" leading to HYMNs - height yielding matrix numbers. HYMNs map the shape of an adinkra to a set of eigenvalues derived from Banchoff matrices. In the context of some examples of four-color, minimal five-color, and minimal six-color adinkras, properties of the HYMNs are explored.
Physical Sciences Physics Physics, Nuclear Physics, Particles & Fields Science & Technology

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