Inhomogeneous loop models with open boundaries

Physics – Mathematical Physics

Scientific paper

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Details

42 pages, 31 figures, minor corrections, references corrected

Scientific paper

10.1088/0305-4470/38/27/001

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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