Totally Symmetric Self-Complementary Plane Partitions and Quantum Knizhnik-Zamolodchikov equation: a conjecture

Abstract

We present a new conjecture relating the minimal polynomial solution of the level-one $U_q(\mathfrak{sl}(2))$ quantum Knizhnik-Zamolodchikov equation for generic values of $q$ in the link pattern basis and some $q$-enumeration of Totally Symmetric Self-Complementary Plane Partitions.

16 pages, 12 figures, uses lanlmac, epsf, mssymb

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