AI 中文总结
本文针对带轻微破缺高自旋对称性的三维大N共形场论，通过自举方法推导了准费米子理论中缺陷变换算子的关联函数、缺陷OPE系数及相关费曼积分，为强耦合规范理论提供了非微扰缺陷四点函数的非平凡实例。
AI 中文摘要
我们研究三维大N共形场论中的缺陷关联函数，该理论具有轻微破缺的高自旋对称性。针对准费米子理论，我们对四个缺陷变换算子的关联函数进行自举分析，即两个共线共形线缺陷及其边界的关联函数，耦合常数取任意值。我们可计算无穷多此类关联函数，并对三种典型情况开展详细分析。此外，我们得到部分缺陷OPE系数，由此可获取缺陷变换算子在1/N阶的相对共形维数。分析过程中，我们还推导了部分费曼积分的显式表达式，其中包括常规星-三角关系的推广形式，这些积分本身具有独立研究价值。我们的自举假设自然适用于陈-西蒙斯物质理论，因此所得结果为强耦合规范理论中显式非微扰缺陷四点函数提供了非平凡实例。
英文摘要
We study defect correlators in three-dimensional, large-$N$, conformal field theories with slightly broken higher-spin symmetry. Focusing on the quasi-fermionic theory, we bootstrap correlation functions of four defect-changing operators, i.e. of two collinear conformal line defects with boundaries, at arbitrary values of the coupling constant. We can compute an infinite number of such correlators and present a detailed analysis for three typical cases. In addition, we obtain some defect OPE coefficients that give us access to the relative conformal dimension between defect-changing operators at order $O(1/N)$. In the course of our analysis, we also derive explicit expressions for some Feynman integrals that might be of independent interest, including an extension of the usual star-triangle relation. Our bootstrap assumptions naturally apply to Chern-Simons matter theories, so our results provide a non-trivial example of explicit, non-perturbative defect four-point functions in a strongly coupled gauge theory.
Comments55 pages, 6 figures
