Junya Yagi

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20242026

most citedSolutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver

1 citations · 2 across the 6 of their papers we have counts for

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math-ph2026

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 $q = ε$ , where $ε$ is a primitive $N$ th root of unity with $N$ odd. For the comm…

math-ph2026

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…

math-ph2026

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…