论文标题
等级2分类问题II：映射规模不变解决方案对SCFTS
The rank 2 classification problem II: mapping scale-invariant solutions to SCFTs
论文作者
论文摘要
这是一系列论文中的第二份，概述了$ \ Mathcal {n} {=} 2 $ SuperConformal Field Field Theories通过对其库仑分支进行的系统分析，该方法是由SpecialKählerscale scale不变的几何形式描述的。在这里，我们描述了如何在几何学和现场理论数据之间进行翻译。我们将此策略应用于本系列第一篇论文中发现的特殊Kähler几何形状，在该论文中，我们对解决方案的形式做出了强有力的简化假设。值得注意的是，我们发现我们的自下而上分类策略即使在这个简化的设置中也有所回报。该系列第一篇论文中的所有比例不变解决方案都将解释为至少一个$ \ MATHCAL {n} {=} 2 $ SUPERCORNON -CORMON -CORMAL FIELD理论的库仑分支，许多人与已知的内容相匹配。但是，我们还预测了六种新等级2理论的存在，包括在重新归一化组流量下关闭的整个新集合。我们详细介绍并讨论这些新的$ \ MATHCAL {n} {=} 2 $ SUPERCON -CONSURAL FIELD TEARIONY中的每一个。据我们所知，他们都不知道字符串理论或更高维度的实现。
This is the second of a series of papers outlining an approach to the classification of $\mathcal{N}{=}2$ superconformal field theories at rank 2 via a systematic analysis of their Coulomb branches, mathematically described by special Kähler scale invariant geometries. Here we describe how to make the translation between geometry and field theory data. We apply this strategy to the special Kähler geometries found in the first paper of the series where we made strong simplifying assumptions on the form of the solutions. Remarkably, we find that our bottom-up classification strategy pays off even in this simplified setup. All scale invariant solutions in the first paper of the series have an interpretation as the Coulomb branch of at least one $\mathcal{N}{=}2$ superconformal field theory, many matching what is already known. But we also predict the existence of six new rank 2 theories, including an entire new set closed under renormalization group flow. We characterise and discuss in detail each one of these new $\mathcal{N}{=}2$ superconformal field theories. To our knowledge none of them have known string theoretic or higher dimensional realisations.
