Izergin-Korepin Analysis on the Projected Wavefunctions of the Generalized Free-Fermion Model
Keyword(s):
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.
Decorated Star-Triangle Relations for the Free-Fermion Model and a New Solvable Bilayer Vertex Model
1995 ◽
Vol 64
(8)
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pp. 2795-2816
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2003 ◽
Vol 36
(10)
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pp. L153-L159
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1992 ◽
Vol 25
(7)
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pp. L341-L346
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1992 ◽
Vol 07
(27)
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pp. 6799-6811
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1985 ◽
Vol 63
(2)
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pp. 519-527
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1989 ◽
Vol 423
(1865)
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pp. 279-300
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