On different approaches to integrable lattice models II

Autor:	Belavin, Vladimir, Gepner, Doron, Cabezas, Juan Ramos, Runov, Boris
Rok vydání:	2024
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	This paper represents a continuation of our previous work, where the Bolzmann 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, specifically the unrestricted face model, based on the $\mathfrak{su}(3)_k$ affine Lie algebra. The admissibility conditions are defined by the adjoint representation. We find the BWs by determining the quantum $R$ matrix of the $U_q(\mathfrak{sl} (3))$ quantum algebra in the adjoint representation and then applying the so-called Vertex-IRF correspondence. The Vertex-IRF correspondence defines the BWs of IRF models in terms of $R$ matrix elements. Comment: one figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.05637 Zobrazit plný text záznamu View this record from Arxiv