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Two-dimensional lattice.

Two-dimensional lattice.

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Figure 1. Two-dimensional lattice.
On different approaches to integrable lattice models
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  • Aug 2023
Interaction-Round the Face (IRF) models are two-dimensional lattice models of statistical mechanics defined by an affine Lie algebra and admissibility conditions depending on a choice of representation of that affine Lie algebra. Integrable IRF models, i.e., the models the Boltzmann weights of which satisfy the quantum Yang-Baxter equation, are of...
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Context 1
... restricted IRF models are defined on a two-dimensional square lattice as shown in Fig- ure 1. The fluctuating variables are associated with the lattice vertices. ...
Context 2
... fluctuating variables are associated with the lattice vertices. A face is formed by four nearest neighboring vertices (in Figure 1 is shown a face with vertices a, b, c, and d ). ...
Context 3
... the tensor product of the elements of P + (n, k) with h, see (1.2), an ordered pair (a, b) is called admissible if it satisfies (1.1). 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 ...

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On different approaches to integrable lattice models
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Interaction-Round the Face (IRF) models are two-dimensional lattice models of statistical mechanics defined by an affine Lie algebra and admissibility conditions depending on a choice of representation of that affine Lie algebra. Integrable IRF models, i.e., the models the Boltzmann weights of which satisfy the quantum Yang-Baxter equation, are of...
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