Quantum Knizhnik-Zamolodchikov Equation: Reflecting boundary conditions and Combinatorics

@inproceedings{Francesco2007QuantumKE,
  title={Quantum Knizhnik-Zamolodchikov Equation: Reflecting boundary conditions and Combinatorics},
  author={Philippe Di Francesco and Paul Zinn-Justin},
  year={2007}
}

• Philippe Di Francesco, Paul Zinn-Justin
• Published 2007
• DOI:10.1088/1742-5468/2007/12/P12009

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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.