1 citations · 1 across the 9 of their papers we have counts for
9 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…
Integrality of genus- indices with adjoint Reidemeister torsions of twist knots
Ryoto Tange, Yuji Terashima, Yoshikazu Yamaguchi
We consider the sum of the adjoint Reidemeister torsions and prove the integrality for twist knots and the meridian. We also give some concrete examples of the generating functions…
Gang-Kim-Yoon integrality conjectures on adjoint Reidemeister torsions for torus knots
Yuji Terashima, Yoshikazu Yamaguchi
We study the conjecture that a sum of the (g-1)st powers of adjoint Reidemeister torsions for a torus knot is an integer. We prove that the conjecture is true for any torus knot an…
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…
On the Burde--de Rham theorem for finitely presented pro- groups
Yasushi Mizusawa, Ryoto Tange, Yuji Terashima
We consider the Burde--de Rham theorem for finitely presented pro- groups under the assumption that the total degrees of all relators are . We also give some concrete example…
Quantum master equation and Hodge correlators
Hisatoshi Kodani, Yuji Terashima
We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs…
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba, Xiaoyue Sun +2
We construct a new solution to the tetrahedron equation by further pursuing the quantum cluster algebra approach in our previous works. The key ingredients include a symmetric butt…
Quantum cluster algebras and 3D integrability: Tetrahedron and 3D reflection equations
Rei Inoue, Atsuo Kuniba, Yuji Terashima
We construct a new solution to the tetrahedron equation and the three-dimensional (3D) reflection equation by extending the quantum cluster algebra approach by Sun and Yagi concern…
Tetrahedron equation and quantum cluster algebras
Rei Inoue, Atsuo Kuniba, Yuji Terashima
We develop the quantum cluster algebra approach recently introduced by Sun and Yagi to investigate the tetrahedron equation, a three-dimensional generalization of the Yang-Baxter e…