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

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.

18 pages, 3 figures

References in corpus (5)

• An Izergin-Korepin procedure for calculating scalar products in six-vertex models
• Supersymmetric Vertex Models with Domain Wall Boundary Conditions
• Determinant Representation of Correlation Functions for the $U_q(gl(1|1))$ Free Fermion Model
• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• Dual wavefunction of the symplectic ice

Cited by in corpus (3)

• Free Fermionic Schur Functions
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula