Rationalizing CFTs and anyonic imprints on Higgs branches
Rationalizing CFTs and anyonic imprints on Higgs branches
复制标题
合理化希格斯分支上的 CFT 和任意子印记
DOI：
10.1007/jhep03(2019)025
复制
发表时间：
2019
影响因子：
5.4
通讯作者：
Z. Laczko
中科院分区：
文献类型：
--
作者：
M. Buican;Z. Laczko
我们继续我们的程序，通过重新访问一组无限的强耦合Argyres-Douglas(SCAD)及其相关的对数2D手征代数，将数据映射到二维手征有理保形场论(RCFT)的观测值上，将数据映射到4DN=2\Documentclass[12pt]{minimum}\usepackage{amsFonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{upgreek}\setlong{\oddsidemargin}{-69pt}\Begin$\数学{N}=2$$\end{Document}超共形场论(SCFT)。首先，在这些对数理论的某些未精化特征与一组酉二维手性RCFT的未精化特征之间的已知对应中，我们开启了离散风味逸度(对于连续风味对称性)。在此讨论的基础上，我们从酉2D理论的角度研究了AD理论中的4D Higgs分支重整化群流(即由Vevs激活的、只有su(2)R⊂su(2)R×u(1)R自发破缺的流)，并发现了一些令人惊讶的现象。特别地，我们认为与四维红外(IR)理论相关的二维手性代数表示背后的某些普适的拓扑数据可以通过伽罗瓦共轭在支撑酉紫外手性RCFT的拓扑量子场理论(TQFT)中计算。从UV到IR的这种拓扑数据的映射符合这样一个事实，在我们的理论中，我们研究的模空间由泛化点上的自由超多重集组成当且仅当UV TQFT是阿贝尔任意子理论。
We continue our program of mapping data of 4D N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=2 $$\end{document} superconformal field theories (SCFTs) onto observables of 2D chiral rational conformal field theories (RCFTs) by revisiting an infinite set of strongly coupled Argyres-Douglas (AD) SCFTs and their associated logarithmic 2D chiral algebras. First, we turn on discrete flavor fugacities (for continuous flavor symmetries) in a known correspondence between certain unrefined characters of these logarithmic theories and unrefined characters of a set of unitary 2D chiral RCFTs. Motivated by this discussion, we then study 4D Higgs branch renormalization group flows (i.e., flows activated by vevs for which only su(2)R ⊂ su(2)R × u(1)R is spontaneously broken) emanating from our AD theories from the point of view of the unitary 2D theories and find some surprises. In particular, we argue that certain universal pieces of the topological data underlying the 2D chiral algebra representations associated with the 4D infrared (IR) theory can be computed, via Galois conjugation, in the topological quantum field theory (TQFT) underlying the unitary ultraviolet (UV) chiral RCFT. The mapping of this topological data from UV to IR agrees with the fact that, in our theories, the moduli spaces we study consist of free hypermultiplets at generic points if and only if the UV TQFT is a theory of abelian anyons.