标题： 通过同调球中的通量量子化对陈-西蒙斯威尔逊环进行重整化 显示英文标题

标题： Renormalization of Chern-Simons Wilson Loops via Flux Quantization in Cohomotopy

摘要： 在物理模型构建的实践中，重整化、重求和和反常抵消的过程是逐步修复最初定义不明确的拉格朗日量子场论的过程。 尽管这令人印象深刻，但人们更希望从一开始就拥有简洁定义的完整理论，并将这些选择视为从基本原理中涌现出来的结果。 作为有启发性的例子，我们回忆一下阿贝尔陈-西蒙斯理论中威尔逊环可观测量的重整化选择。 然后我们展示这些选择通过2-上同伦中的适当通量量子化，在5D麦克斯韦-陈-西蒙斯量子场论的一种新颖的非拉格朗日拓扑完成中出现。 这一结果是“H假设”中11D超引力的4-上同伦通量量子化的 modest 表亲，它在拓扑有序量子材料中有应用。 显示英文摘要

摘要： In the practice of physics model building, the process of renormalization, resummation, and anomaly cancellation is to incrementally repair initially ill-defined Lagrangian quantum field theories. Impressive as this is, one would rather have concisely defined complete theories to begin with, and understand these choices as emergent from fundamental principles. As an instructive example, we recall renormalization choices for Wilson loop observables in abelian Chern-Simons theory. Then we show that these emerge in a novel non-Lagrangian topological completion of 5D Maxwell-Chern-Simons QFT, by means of proper flux quantization in 2-Cohomotopy. This result is a modest cousin, with applications to topologically ordered quantum materials, of the more ambitious flux quantization of 11D supergravity in 4-Cohomotopy ("Hypothesis H").