activity
20072024
most citedVertex models, TASEP and Grothendieck polynomials

54 citations · 240 across the 41 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

math-ph2017★ 2 cited

Izergin-Korepin analysis on the wavefunctions of the six-vertex model with reflecting end

Kohei Motegi

We extend the recently developed Izergin-Korepin analysis on the wavefunctions of the six-vertex model to the reflecting boundary conditions. Based on the Izergin-Korep…

math-ph2017★ 3 cited

Elliptic supersymmetric integrable model and multivariable elliptic functions

Kohei Motegi

We investigate the elliptic integrable model introduced by Deguchi and Martin, which is an elliptic extension of the Perk-Schultz model. We introduce and study a class of partition…

math-ph2017★ 5 cited

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

Kohei Motegi

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 si…

math-ph2017★ 10 cited

Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis

Kohei Motegi

We analyze wavefunctions of the six-vertex model by extending the Izergin-Korepin analysis on the domain wall boundary partition functions. We particularly focus on the case with t…

math.QA2017★ 5 cited

Dual wavefunction of the symplectic ice

Kohei Motegi

The wavefunction of the free-fermion six-vertex model was found to give a natural realization of the Tokuyama combinatorial formula for the Schur polynomials by Bump-Brubaker-Fried…

math-ph2017★ 1 cited

Domain wall boundary partition function of the six-vertex model with triangular boundary

Kohei Motegi

We introduce and study the domain wall boundary partition function of the integrable six-vertex model with triangular boundary. We first formulate the domain wall boundary partitio…