272 citations · 2.2k across the 97 of their papers we have counts for
98 papers
Quantized six-vertex model at roots of unity: Frobenius property and free-parafermion spectra
Rei Inoue, Atsuo Kuniba, Yuji Terashima +1
We study the quantized six-vertex (Q6V) model on arbitrary admissible diagrams at , where is a primitive th root of unity with odd. For the comm…
Functional relations in renormalization group methods for a class of ordinary differential equations
Atsuo Kuniba, Rurika Motohashi
We develop a renormalization group (RG)-based perturbation scheme for a class of ordinary differential equations, including first-order systems with semisimple or nilpotent linear…
Multispecies inhomogeneous -PushTASEP with general capacity
Arvind Ayyer, Atsuo Kuniba
We study an -species -PushTASEP, an integrable long-range stochastic process, on a one-dimensional periodic lattice with inhomogeneities and arbitrary capaci…
Solutions of 3D Reflection Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba
We construct a new solution to the three-dimensional reflection equation, a boundary analogue of the tetrahedron equation. The -operator is the one obtained by Sun, Tera…
Quantized six-vertex model on a torus
Rei Inoue, Atsuo Kuniba, Yuji Terashima +1
We study the integrability of the quantized six-vertex model with four parameters on a torus. It is a three-dimensional integrable lattice model in which a layer transfer matrix, d…
Multispecies inhomogeneous -PushTASEP from antisymmetric fusion
Arvind Ayyer, Atsuo Kuniba
We investigate the recently introduced inhomogeneous -species -PushTASEP, a long-range stochastic process on a periodic lattice. A Baxter-type formula is established, express…