标题： 离散对称性和3450模型的't Hooft反常 显示英文标题

标题： Discrete symmetry and 't Hooft anomalies for 3450 model

摘要： 我们报告了对王和文提出的格点3450模型的离散对称性研究。 格点3450模型预期通过2+1维域墙费米子和镜像区间的gapping相互作用来描述无异常的1+1维手征U(1)规范理论。 我们发现该格点模型除了具有U(1) x U(1)对称性外，还具有精确的离散对称性。 假设Zumino-Stora过程也适用于离散对称性，我们计算了具有相同离散对称性的目标连续U(1)手征规范理论的完整't Hooft反常。 我们证明了涉及离散对称性的混合和自反常是不存在的，这与格点3450模型在连续极限下产生手征U(1)规范理论的预期是一致的。 显示英文摘要

摘要： We report our study of the discrete symmetry for lattice 3450 model proposed by Wang and Wen. Lattice 3450 model is expected to describe the anomaly free chiral U(1) gauge theory in 1+1 dimension using 2+1 dimensional domain-wall fermion with gapping interactions for the mirror sector. We find that the lattice model has exact discrete symmetry in addition to U(1) x U(1) symmetry. Assuming the Zumino-Stora procedure works also for discrete symmetry, we compute the full 't Hooft anomaly for the target continuum U(1) chiral gauge theory with the same discrete symmetry. We show that the mixed and self anomalies involving the discrete symmetry are absent, which is consistent with the expectation that the lattice 3450 produces chiral U(1) gauge theory in the continuum limit.