Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics

Abstract

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.

References in corpus (2)

• Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics
• Totally Symmetric Self-Complementary Plane Partitions and Quantum Knizhnik-Zamolodchikov equation: a conjecture

Cited by in corpus (8)

• Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics
• Exact finite size groundstate of the O(n=1) loop model with open boundaries
• Separation of variables for symplectic characters
• The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics
• On some ground state components of the O(1) loop model
• Fully packed loop models on finite geometries
• A Positive integral property on the ground state of the two-boundary Temperley--Lieb Hamiltonian
• On some polynomials enumerating Fully Packed Loop configurations