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Izergin-Korepin Analysis on the Projected Wavefunctions of the Generalized Free-Fermion Model

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  • Kohei Motegi

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 -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.

Suggested Citation

  • Kohei Motegi, 2017. "Izergin-Korepin Analysis on the Projected Wavefunctions of the Generalized Free-Fermion Model," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-11, June.
    • Handle: RePEc:hin:jnlamp:7563781
    DOI: 10.1155/2017/7563781
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