4 papers
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…