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Inhomogeneous loop models with open boundaries

P. Di Francesco

math-pharXiv:math-ph/0504032

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.

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