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Advances in Mathematical Physics
Volume 2017, Article ID 7563781, 11 pages
https://doi.org/10.1155/2017/7563781
Research Article

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

Faculty of Marine Technology, Tokyo University of Marine Science and Technology, Etchujima 2-1-6, Koto-Ku, Tokyo 135-8533, Japan

Correspondence should be addressed to Kohei Motegi; pj.ca.oykot-u.c.natukog@igetom

Received 17 April 2017; Accepted 21 May 2017; Published 20 June 2017

Academic Editor: Andrei D. Mironov

Copyright © 2017 Kohei Motegi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.