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arXiv · 1412.7617

A Positive integral property on the ground state of the two-boundary Temperley--Lieb Hamiltonian

Keiichi Shigechi
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Abstract

We study the two-boundary Temperley--Lieb $O(n)$ 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 $U_q(\mathfrak{sl}_2)$. 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.

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Keiichi Shigechi. 2014-12-24. A Positive integral property on the ground state of the two-boundary Temperley--Lieb Hamiltonian. https://arxiv.org/abs/1412.7617

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