1 citations · 2 across the 6 of their papers we have counts for
6 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…
State integral models and the tetrahedron equation
Junya Yagi
It is shown that for a class of state integral models on shaped pseudo 3-manifolds, including the edge formulation of Teichmüller TQFT, the Boltzmann weight assigned to a tetrahedr…
Solving the tetrahedron equation by Teichmüller TQFT
Myungbo Shim, Xiaoyue Sun, Hao Ellery Wang +1
We propose an approach to construct three-dimensional lattice models using line defects in state integral models on shaped triangulations of 3-manifolds. The Boltzmann weights for…
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…
Tetrahedron duality
Junya Yagi
A certain two-dimensional supersymmetric gauge theory is argued to satisfy a relation that promotes the Zamolodchikov tetrahedron equation to an infrared duality between two quantu…
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…