Research Note analyzes self-dual points in spectral theory of icosahedral networks, suggesting new insights.
Research Note 10 of the INDYNA program. This note analyzes the self-dual point of the conjugate-shell operator family: the duality W H(g) W† = g·H(1/g) pairs every coupling g with its inverse, and the self-dual coupling plays a distinguished role in the level-crossing structure. Part of the numbered series (Notes 7–15) on the exactly solvable spectral theory of icosahedral networks.
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Arber Gishto (2026) studied this question.
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