标题： 洛伦兹动力学与超越有理性的因式分解 显示英文标题

标题： Lorentzian Dynamics and Factorization Beyond Rationality

摘要： 我们研究二维共形场论的共形Regge极限中拓扑缺陷线的出现。 我们解释局部算符如何通过一条拓扑缺陷线连接的解析和反解析缺陷算符进行分解，并讨论对洛伦兹动力学的影响，包括混沌方面的内容。 我们推导出一个无限加速极限的公式，该公式以拓扑缺陷线对局部算符的作用形式全息地编码了体散射的透明/不透明性，并论证了一个幺正性界限。 分解还给出了一个将局部算符代数和缺陷算符代数以及融合范畴数据联系起来的公式。 我们从缺陷的角度回顾有理共形场论中的分解，并研究非有理理论。 在$c = 1$自由玻色理论的轨道化分支上，发现关于扭角场分解的有理性与非有理性的二分法。 显示英文摘要

摘要： We investigate the emergence of topological defect lines in the conformal Regge limit of two-dimensional conformal field theory. We explain how a local operator can be factorized into a holomorphic and an anti-holomorphic defect operator connected through a topological defect line, and discuss implications on Lorentzian dynamics including aspects of chaos. We derive a formula for the infinite boost limit, which holographically encodes the transparency/opacity of bulk scattering, in terms of the action of topological defect lines on local operators, and argue for a unitarity bound. Factorization also gives a formula relating the local and defect operator algebras and fusion categorical data. We review factorization in rational conformal field theory from a defect perspective, and examine irrational theories. On the orbifold branch of the $c = 1$ free boson theory, a dichotomy between rationality and irrationality is found regarding the factorization of the twist field.