A Positive integral property on the ground state of the two-boundary Temperley--Lieb Hamiltonian
arXiv:1412.7617
Abstract
We study the two-boundary Temperley--Lieb loop model on Kazhdan--Lusztig bases of type A and B. We obtain explicit expressions of the ground state of the two-boundary Temperley--Lieb Hamiltonian by means of a coideal subalgebra of . This ground state possesses a positive integral property. We conjecture that some components of the ground state are directly related to an enumeration of binary or permutation matrices.
arXiv comment62 pages
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