Title: Monodromy Pinning Defects in the Critical $\mathrm{O}(2N)$ Model Show Chinese title

Title: 单色性钉扎缺陷在临界$\mathrm{O}(2N)$模型中

Abstract: We investigate a novel class of defects in the critical $\mathrm{O}(2N)$ model that preserve conformal symmetry along the defect, but not the symmetry under rotations transverse to the defect. Instead, they only preserve a combination of transverse rotations and a global symmetry. These defects are constructed as IR fixed points of RG flows originating at monodromy defects, triggered by a relevant operator with non-zero transverse spin. Using large-$N$ and $4-\varepsilon$ expansions, we compute leading-order scaling dimensions of defect operators and the one-point functions of the bulk fields. In various limits this theory coincides with the monodromy defect or the pinning field defect, and we compare our results to existing results for these defects. Show Chinese abstract

Abstract: 我们研究临界$\mathrm{O}(2N)$模型中的一类新型缺陷，这些缺陷沿缺陷保持共形对称性，但不保持垂直于缺陷的旋转对称性。 相反，它们仅保持垂直旋转和全局对称性的组合。 这些缺陷被构造为从单值缺陷出发的RG流的红外固定点，该流由具有非零垂直自旋的相关算符触发。 通过大$N$和$4-\varepsilon$展开，我们计算了缺陷算符的一阶标度维度以及体场的一点函数。 在各种极限下，该理论与单值缺陷或钉扎场缺陷一致，我们将结果与这些缺陷的现有结果进行了比较。