论文标题
统一6D $ \ MATHCAL {N} =（1,1）$ string landscape
Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
论文作者
论文摘要
我们根据$ \ Mathcal {n} =（1,1）$在六个维度的弦理论模量空间中提出了一个组织原理，基于等级降低图，所有已知的构造都适合。如果是纸张的主要重点，我们与$ C = 24 $（$ C = 12 $）的Meromormormormormormormormormormormormormormormormormormorphic 2d（s）CFT建立了明确的联系，并显示它们如何在其相关的6D理论中编码所有可能的规格对称性增强。这些结果自然而然地概括为非循环轨道，唯一已知的弦构建（我们的意识）也适合。该框架表明存在总共47个模量空间：Narain模量空间，23个环形孔类型和23种非环状类型。其中只有17个具有已知的字符串结构。在30个新的模量空间中，有15个对应于纯超级实力，共有16个这样的空间。给出了非亚伯量规对称性的完整分类，作为副产品，我们完成了七个维度的副产品，其中只有那些具有异性描述的理论是详尽地知道的。
We propose an organizing principle for string theory moduli spaces in six dimensions with $\mathcal{N} = (1,1)$, based on a rank reduction map, into which all known constructions fit. In the case of cyclic orbifolds, which are the main focus of the paper, we make an explicit connection with meromorphic 2D (s)CFTs with $c = 24$ ($c = 12$) and show how these encode every possible gauge symmetry enhancement in their associated 6D theories. These results generalize naturally to non-cyclic orbifolds, into which the only known string construction (to our awareness) also fits. This framework suggests the existence of a total of 47 moduli spaces: the Narain moduli space, 23 of cyclic orbifold type and 23 of non-cyclic type. Of these only 17 have known string constructions. Among the 30 new moduli spaces, 15 correspond to pure supergravity, for a total of 16 such spaces. A full classification of nonabelian gauge symmetries is given, and as a byproduct we complete the one for seven dimensions, in which only those of theories with heterotic descriptions were known exhaustively.
