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Boxed Skew Plane Partition and Integrable Phase Model

Keiichi Shigechi·Masaru Uchiyama
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Abstract

We study the relation between the boxed skew plane partition and the integrable phase model. We introduce a generalization of a scalar product of the phase model and calculate it in two ways; the first one in terms of the skew Schur functions, and another one by use of the commutation relations of operators. In both cases, a generalized scalar product is expressed as a determinant. We show that a special choice of the spectral parameters of a generalized scalar product gives the generating function of the boxed skew plane partition.

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Keiichi Shigechi, Masaru Uchiyama. 2005-10-02. Boxed Skew Plane Partition and Integrable Phase Model. https://doi.org/10.1088/0305-4470%2F38%2F48%2F003

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