Dual wavefunction of the Felderhof model
arXiv:1606.08552 · doi:10.1007/s11005-017-0942-2
Abstract
We study the Felderhof free-fermion six-vertex model, whose wavefunction recently turned out to possess rich combinatorial structure of the Schur polynomials. We investigate the dual version of the wavefunction in this paper, which seems to be a harder object to analyze. We evaluate the dual wavefunction in two ways. First, we give the exact correspondence between the dual wavefunction and the Schur polynomials, for which two proofs are given. Next, we make a microscopic analysis and express the dual wavefunction in terms of strict Gelfand-Tsetlin pattern. As a consequence of these two ways of evaluation of the dual wavefunction, we obtain a dual version of the Tokuyama combinatorial formula for the Schur polynomials. We also give a generalization of the correspondence between the dual wavefunction of the Felderhof model and the factorial Schur polynomials.
27 pages, 7 figures
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Cited by in corpus (8)
- Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
- Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice
- Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model
- Dual wavefunction of the symplectic ice
- Elliptic supersymmetric integrable model and multivariable elliptic functions
- 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