From the 1 of 4 linked papers with an AI index.
4 papers
State integral models and the tetrahedron equation
Junya Yagi
The paper proves that for a class of state integral models on shaped pseudo‑3‑manifolds, the Boltzmann weight assigned to a tetrahedron satisfies the tetrahedron equation, with the…
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…
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…