Open boundary quantum Knizhnik-Zamolodchikov equation and the weighted enumeration of plane partitions with symmetries

Research output: Contribution to journalArticle

Abstract

We propose new conjectures relating sum rules for the polynomial solution of the qKZ equation with open (reflecting) boundaries as a function of the quantum parameter q and the τ-enumeration of plane partitions with specific symmetries, with τ ≤ -(q+q-1). We also find a conjectural relation la Razumov-Stroganov between the limit of the qKZ solution and refined numbers of totally symmetric self-complementary plane partitions.

Original languageEnglish (US)
Article numberP01024
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number1
DOIs
StatePublished - Jan 1 2007
Externally publishedYes

Keywords

  • Algebraic structures of integrable models
  • Loop models and polymers
  • Topology and combinatorics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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