近日，德国波恩大学Gwenaël Ferrando团队研究了高自旋对称性微破缺共形场论中线缺陷和局部算子的相关子。2025年10月23日出版的《高能物理杂志》发表了这项成果。

研究组分析了具有大N极限的三维共形场理论。利用微破缺高自旋对称的框架，他们在单迹局部算子和带边界的直共形线缺陷之间建立了相关函数。这些相关函数依赖于单个保形交叉比，封装了所有体积缺陷算子积展开系数。

集中于准费米子理论，研究组明确地计算了所有涉及自旋为零和自旋为一的守恒电流的相关器，以及涉及高自旋电流的无限相关器族。此外，该研究组证明了这些相关器对缺陷形状的依赖完全由它们的自举约束决定。

附：英文原文

Title: Correlators of line defect and local operator in conformal field theories with a slightly broken higher-spin symmetry

Author: Ferrando, Gwenal, Sever, Amit, Urisman, Elior

Issue&Volume: 2025-10-23

Abstract: We study three-dimensional conformal field theories with a large-N limit. Leveraging the framework of slightly broken higher-spin symmetry, we bootstrap correlation functions between the single-trace, local operators and straight, conformal line defects with boundaries. These correlation functions, which depend on a single conformal cross-ratio, encapsulate all bulk-defect operator product expansion coefficients. Concentrating on the quasi-fermionic theory, we explicitly compute all correlators involving the spin-zero and spin-one conserved currents, along with an infinite family of correlators involving the higher-spin currents. Furthermore, we demonstrate that the dependence of these correlators on the defect’s shape is fully determined by our bootstrap constraints.

DOI: 10.1007/JHEP10(2025)204

Source: https://link.springer.com/article/10.1007/JHEP10(2025)204