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Two-dimensional lattice.

Two-dimensional lattice.

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Figure 1. Two-dimensional lattice.
On different approaches to IRF lattice models. Part II
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  • Feb 2025
A bstract This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories. Here, we focus on deriving solutions for the Boltzmann weights of the Interaction-Round the Face lattice model, sp...
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Context 1
... model under study is defined on a two-dimensional square lattice, where the fluctuating variables residing on the lattice vertices (see figure 1) belong to the set of integral weights of the algebra su(3) k . The adjoint representation of the corresponding finite Lie algebra su(3) will be used to define the admissibility conditions for face configurations. ...
Context 2
... we present the unrestricted IRF model based on su(3) k . The model is defined on a two-dimensional square lattice, as illustrated in figure 1, with fluctuating variables residing on the lattice vertices. A face is formed by four nearest neighboring vertices (in figure 1, a face with vertices a, b, c, and d is shown). ...
Context 3
... let (a, b, c, d) be the values of the North-West (NW), NE, SE, and SW corners of a face (e.g., the face shown in figure 1). The face configuration (a, b, c, d) is termed admissible if the pairs (a, b), (a, d), (b, c), and (d, c) are all admissible. ...