72 citations · 167 across the 18 of their papers we have counts for
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Three-Dimensional Vertex Model Related BCC Model in Statistical Mechanics
Zhan-Ning Hu
In this paper, a three-dimensional vertex model is obtained. It is a duality of the three-dimensional integrable lattice model with states proposed by Boos, Mangazeev, Sergeev…
Three-Dimensional Vertex Model in Statistical Mechanics, from Baxter-Bazhanov Model
Zhan-Ning Hu, Bo-Yu Hou
We find that the Boltzmann weight of the three-dimensional Baxter-Bazhanov model is dependent on four spin variables which are the linear combinations of the spins on the corner si…
On the Three-dimensional Lattice Model
Zhan-Ning Hu
Using the restricted star-triangle relation, it is shown that the -state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube o…
Solutions of n-simplex Equation from Solutions of Braid Group Representation
You-Quan Li, Zhan-Ning Hu
It is shown that a kind of solutions of n-simplex equation can be obtained from representations of braid group. The symmetries in its solution space are also discussed.
Cyclic Quantum Dilogarithm and Shift Operator
Zhan-Ning Hu, Bo-Yu Hou
{}From the cyclic quantum dilogarithm the shift operator is constructed with is a root of unit and the representation is given for the current algebra introduced by Faddeev $et…
Weyl Pair, Current Algebra and Shift Operator
Zhan-Ning Hu
The Abelian current algebra on the lattice is given from a series of the independent Weyl pairs and the shift operator is constructed by this algebra. So the realization of the ope…
Remarks on the Star-Triangle Relation in the Baxter-Bazhanov Model
Zhan-Ning Hu, Bo-Yu Hou
In this letter we show that the restricted star-triangle relation introduced by Bazhanov and Baxter can be obtained either from the star-triangle relation of chiral Potts model or…
Baxter-Bazhanov Model, Frenkel-Moore Equation and the Braid Group
Zhan-Ning Hu
In this paper the three-dimensional vertex model is given, which is the duality of the three-dimensional Baxter-Bazhanov (BB) model. The braid group corresponding to Frenkel-Moore…