论文标题
异常和恢复性限制超出标准模型：拓扑力
Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
论文作者
论文摘要
标准知识使用局部异常来检查耦合与手性费米子的运动学理论的运动学一致性，例如标准型号（SM）。基于系统的共同体分类，我们检查了可逆量子异常（包括所有扰动局部和非扰动全局异常）的约束。我们还阐明了这些异常的不同用途：包括（1）消除动力学轨迹字段的异常，（2）'t Hooft Anomaly匹配的全局对称性背景字段等。我们应用了几个4D $ \ mathbb {z} _ {n} $异常约束，为$ n = 16,4,2 $类，超出了熟悉的feynman-graph扰动$ \ mathbb {z} $ class local Anomalies。作为一个应用程序，对于（su（3）$ \ times $ su（2）$ \ times $ u（1））/$ \ mathbb {z} _q $ sm（$ q = 1,2,3,6 $）和su（5）大统一，带有15n手性的Weyl Fermions，并带有iCtect baryon minus lepton lepton lepton $ x = 5（ l}）-4y $保留，我们发现了一个以前未知的新隐藏式扇形扇区模型。 The gapped sector at low energy contains either (1) 4d non-invertible topological quantum field theory (TQFT, above the energy gap with heavy fractionalized anyon excitations from 1d particle worldline and 2d string worldsheet, inaccessible directly from Dirac or Majorana mass gap of the 16th Weyl fermions [i.e., right-handed neutrinos], but accessible via a topological quantum phase transition), or (2) 5D可逆TQFT在额外的维度中。在较高的能量尺度之上，离散的$ x $动态测量，4D和5D的纠缠宇宙由拓扑力介导。我们的模型有可能解决难题，在基本物理学中覆盖无菌中微子和暗物质。
Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on a systematic cobordism classification, we examine constraints from invertible quantum anomalies (including all perturbative local and nonperturbative global anomalies) for gauge theories. We also clarify the different uses of these anomalies: including (1) anomaly cancellations of dynamical gauge fields, (2) 't Hooft anomaly matching conditions of background fields of global symmetries, and others. We apply several 4d $\mathbb{Z}_{n}$ anomaly constraints of $n=16,4,2$ classes, beyond the familiar Feynman-graph perturbative $\mathbb{Z}$ class local anomalies. As an application, for (SU(3)$\times$SU(2)$\times$U(1))/$\mathbb{Z}_q$ SM (with $q=1,2,3,6$) and SU(5) Grand Unification with 15n chiral Weyl fermions and with a discrete baryon minus lepton number $X=5({\bf B}- {\bf L})-4Y$ preserved, we discover a new hidden gapped sector previously unknown to the SM and Georgi-Glashow model. The gapped sector at low energy contains either (1) 4d non-invertible topological quantum field theory (TQFT, above the energy gap with heavy fractionalized anyon excitations from 1d particle worldline and 2d string worldsheet, inaccessible directly from Dirac or Majorana mass gap of the 16th Weyl fermions [i.e., right-handed neutrinos], but accessible via a topological quantum phase transition), or (2) 5d invertible TQFT in extra dimensions. Above a higher energy scale, the discrete $X$ becomes dynamically gauged, the entangled Universe in 4d and 5d is mediated by Topological Force. Our model potentially resolves puzzles, surmounting sterile neutrinos and dark matter, in fundamental physics.
