发表机构
Perimeter Institute for Theoretical Physics; Yale University; New York University; Institute for Advanced Study（Perimeter理论物理研究所; 耶鲁大学; 纽约大学; 高等研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对共形线缺陷的尖点反常维数推导了新非微扰不等式，提出共形凹性条件，建立了局部算符数据与线算符融合规则间的定量桥梁。
AI 中文摘要
我们推导了共形线缺陷的尖点反常维数的新非微扰不等式。我们对形成“眼”几何的一对尖点施加反射正性、局域性和共形不变性，推导出尖点反常维数的新条件，我们称之为共形凹性。所得约束比已知的角凹性强得多，且我们的推导也适用于涉及不同线缺陷的尖点。值得注意的是，它直接将光滑极限与融合极限联系起来，得出缺陷变换算符维数、卡西米尔能量和次领头融合数据的界限。因此，我们在共形场论中局部算符数据的各个方面与线算符的融合规则之间建立了新的定量桥梁。
英文摘要
We derive new nonperturbative inequalities on the cusp anomalous dimensions of conformal line defects. We impose reflection positivity, locality, and conformal invariance on a pair of cusps forming an ``eye'' geometry, deriving a novel condition on the cusp anomalous dimension which we refer to as conformal concavity. The resulting constraint is much stronger than the known angular concavity, and our derivation applies also to cusps involving distinct line defects. Remarkably, it directly links the smooth and fusion limits, yielding bounds on defect-changing operator dimensions, Casimir energies, and subleading fusion data. We thus uncover a new quantitative bridge between aspects of the local operator data and the fusion rules of line operators in conformal field theories.
Comments14 pages, 4 figures
