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

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

2006-07-19

arxiv.org/abs/cond-mat/0607499v1

J. Stat. Mech. (2006) P09008

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/1742-5468/2006/09/P09008

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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