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arXiv · 1704.03575

Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model

Kohei Motegi
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Abstract

We apply the Izergin-Korepin analysis to the study of the projected wavefunctions of the generalized free-fermion model. We introduce a generalization of the $L$-operator of the six-vertex model by Bump-Brubaker-Friedberg and Bump-McNamara-Nakasuji. We make the Izergin-Korepin analysis to characterize the projected wavefunctions and show that they can be expressed as a product of factors and certain symmetric functions which generalizes the factorial Schur functions. This result can be seen as a generalization of the Tokuyama formula for the factorial Schur functions.

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Kohei Motegi. 2017-06-21. Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model. https://doi.org/10.1155/2017%2F7563781

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