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 Uq(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.

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