Inhomogeneous loop models with open boundaries

Abstract

We consider the crossing and non-crossing O(1) dense loop models on a semi-infinite strip, with inhomogeneities (spectral parameters) that preserve the integrability. We compute the components of the ground state vector and obtain a closed expression for their sum, in the form of Pfaffian and determinantal formulas.

42 pages, 31 figures, minor corrections, references corrected

References in corpus (2)

• A refined Razumov-Stroganov conjecture II
• A scheme related to the Brauer loop model

Cited by in corpus (17)

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