Quantum Knizhnik-Zamolodchikov equation: Reflecting boundary conditions and combinatorics

P. Di Francesco, P. Zinn-Justin

Research output: Contribution to journalArticlepeer-review


We consider the level 1 solution of the quantum Knizhnik-Zamolodchikov equation with reflecting boundary conditions which is relevant to the Temperley-Lieb model of loops on a strip. By use of integral formulae we prove conjectures relating it to the weighted enumeration of cyclically symmetric transpose complement plane partitions and related combinatorial objects.

Original languageEnglish (US)
Article numberP12009
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number12
StatePublished - Dec 1 2007
Externally publishedYes


  • Algebraic structures of integrable models
  • Loop models and polymers
  • Solvable lattice models

ASJC Scopus subject areas

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

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