Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics

Details Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics

2007-09-21

arxiv.org/abs/0709.3410v2

Physics

Mathematical Physics

Scientific paper

10.1088/1742-5468/2007/12/P12009

We consider the level 1 solution of 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.

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