Totally Symmetric Self-Complementary Plane Partitions and Quantum Knizhnik-Zamolodchikov equation: a conjecture
نویسنده
چکیده
We present a new conjecture relating the minimal polynomial solution of the level-one U q (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.
منابع مشابه
Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices
We present multiresidue integral formulae for partial sums in the basis of link patterns of the polynomial solution to the level 1 Uq(ŝl2) quantum Knizhnik–Zamolodchikov equation at generic values of the quantum parameter q. These allow for rewriting and generalizing a recent conjecture [Di Francesco ’06] connecting the above to generating polynomials for weighted Totally Symmetric Self-Complem...
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