English

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

Statistical Mechanics 2009-11-11 v1 Mathematical Physics Combinatorics math.MP

Abstract

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

Keywords

Cite

@article{arxiv.cond-mat/0607499,
  title  = {Totally Symmetric Self-Complementary Plane Partitions and Quantum Knizhnik-Zamolodchikov equation: a conjecture},
  author = {P. Di Francesco},
  journal= {arXiv preprint arXiv:cond-mat/0607499},
  year   = {2009}
}

Comments

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