We numerically diagonalize the Dimer-Trimer (DT) spin-1 chain Hamiltonian in the vicinity of the SU(3) symmetric point, named the pure trimer (PT) point. We analyze our numerical results with the conformal field theory (CFT). First of all, we discover soft modes at the wave number q = 0 and q = 2{\pi}/3 for the PT point, which means that the system is critical. Secondly, we find that the system at the PT point belongs to the CFT with the central charge c = 2 and the scaling dimension x = 2/3. Finally, by investigating the eigenvalues of the Hamiltonian in the vicinity of the PT point, we find that there is a phase transition at the PT point from a massive phase to a massless phase. From these numerical results, the phase transition at the PT point belongs to the Berezinskii-Kosterlitz-Thouless (BKT)-like universality class that is explained by the level-1 SU(3) Wess-Zumino-Witten (SU(3) 1 WZW) model.

中文翻译：

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围绕二聚体-三聚体 Spin-1 链的 SU(3) 对称点的通用性等级

我们在 SU(3) 对称点附近对二聚体-三聚体 (DT) 自旋 1 链哈密顿量进行数值对角化，称为纯三聚体 (PT) 点。我们用共形场理论 (CFT) 分析我们的数值结果。首先，我们在波数 q = 0 和 q = 2{\pi}/3 处发现了 PT 点的软模式，这意味着系统是关键的。其次，我们发现在 PT 点的系统属于 CFT，中心电荷 c = 2，缩放维度 x = 2/3。最后，通过研究 PT 点附近哈密顿量的特征值，我们发现在 PT 点处存在从有质量相到无质量相的相变。从这些数值结果来看，