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arxiv: cond-mat/0607499 · v1 · submitted 2006-07-19 · ❄️ cond-mat.stat-mech · math-ph· math.CO· math.MP

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

classification ❄️ cond-mat.stat-mech math-phmath.COmath.MP
keywords conjectureequationknizhnik-zamolodchikovpartitionsplanequantumself-complementarysymmetric
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We present a new conjecture relating the minimal polynomial solution of the level-one $U_q(\frak{sl}(2))$ 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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