The limit shape in the double-elliptic generalization of the Vershik-Kerov problem is governed by a genus two algebraic curve.
Supersymmetric yang-mills theory and integrable sys- tems.Nuclear Physics B, 460(2):299–334, February 1996
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Tropicalization of exact WKB formulae for NRS coordinates on the four-punctured sphere yields chamberwise agreement with Seiberg-Witten periods of SU(2) Nf=4 in unimodular primitive-symplectic chambers.
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Vershik-Kerov in higher times
The limit shape in the double-elliptic generalization of the Vershik-Kerov problem is governed by a genus two algebraic curve.