38 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyushu UniversityJP4 papers
- The University of TokyoJP3 papers
- Tokyo Institute of TechnologyJP3 papers
- Tokyo University of ScienceJP3 papers
- Hitotsubashi UniversityJP2 papers
- Hokkaido UniversityJP2 papers
- Keio UniversityJP2 papers
- University of Northern ColoradoUS2 papers
- Agency for Science, Technology and ResearchSG1 paper
- Aichi Institute of TechnologyJP1 paper
- Delft University of TechnologyNL1 paper
- High Energy Accelerator Research OrganizationJP1 paper
15 papers · 1 filter
Factorization of rational six vertex model partition functions
Kohei Motegi
We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular bounda…
Tetrahedron equation and Schur functions
Shinsuke Iwao, Kohei Motegi, Ryo Ohkawa
The tetrahedron equation introduced by Zamolodchikov is a three-dimensional generalization of the Yang-Baxter equation. Several types of solutions to the tetrahedron equation that…
Integrable models and -theoretic pushforward of Grothendieck classes
Kohei Motegi
We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendie…
A class of partition functions associated with by Izergin-Korepin analysis
Kohei Motegi
Recently, a class of partition functions associated with higher rank rational and trigonometric integrable models were introduced by Foda and Manabe. We use the dynamical -matri…
Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
Kohei Motegi, Kazumitsu Sakai, Satoshi Watanabe
We introduce generalizations of type and ice models which were recently introduced by Ivanov and Brubaker-Bump-Chinta-Gunnells, and study in detail the partition functions…
Elliptic free-fermion model with OS boundary and elliptic Pfaffians
Kohei Motegi
We introduce and study a class of partition functions of an elliptic free-fermionic face model. We study the partition functions with a triangular boundary using the off-diagonal $…
On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations
Anton Dzhamay, Tomoyuki Takenawa
Although the theory of discrete Painlevé (dP) equations is rather young, more and more examples of such equations appear in interesting and important applications. Thus, it is esse…
Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
Kohei Motegi
We analyze the scalar products of the elliptic Felderhof model introduced by Foda-Wheeler-Zuparic as an elliptic extension of the trigonometric face-type Felderhof model by Deguchi…
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…
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…
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…
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…
Quantum integrable combinatorics of Schur polynomials
Kohei Motegi, Kazumitsu Sakai
We examine and present new combinatorics for the Schur polynomials from the viewpoint of quantum integrability. We introduce and analyze an integrable six-vertex model which can be…
A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice
Rei Inoue, Tomoyuki Takenawa
We introduce a tropical analogue of Fay's trisecant identity for a special family of hyperelliptic tropical curves. We apply it to obtain the general solution of the ultra-discrete…
Tropical spectral curves and integrable cellular automata
Rei Inoue, Tomoyuki Takenawa
We propose a method to study the integrable cellular automata with periodic boundary conditions, via the tropical spectral curve and its Jacobian. We introduce the tropical version…