Title: The $D^{(2)}_{3}$ spin chain and its finite-size spectrum Show Chinese title

Title: 自旋链$D^{(2)}_{3}$及其有限尺寸谱

Abstract: Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic $D^{(2)}_3$ spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regime $\gamma\in (0,\frac{\pi}{4})$. Besides two compact degrees of freedom, we identify two independent continuous components in the finite-size spectrum. The influence of large twist angles on the latter reveals also the presence of discrete states. This allows for a conjecture on the central charge of the conformal field theory describing the scaling limit of the lattice model. Show Chinese abstract

Abstract: 利用解析的Bethe假设，我们开始研究准周期$D^{(2)}_3$自旋链的尺度极限。通过详细的对称性分析的支持，我们在参数范围$\gamma\in (0,\frac{\pi}{4})$内确定了大量状态的有效尺度维度。除了两个紧凑自由度外，我们在有限尺寸光谱中识别出两个独立的连续分量。大扭转角对此类分量的影响也揭示了离散状态的存在。这使得我们可以推测描述晶格模型尺度极限的共形场论的中心电荷。