发表机构
University of Liverpool; Rotterdam University of Applied Sciences; Manchester Metropolitan University（利物浦大学; 鹿特丹应用科学大学; 曼彻斯特城市大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在SO(12)自由费米子点上对II型弦理论中所有Z2点群的二阶T-折叠构型进行分类，给出参数化谱，发现最小霍奇数(1,1)，并推测非对称镜对称及非超对称构造。
AI 中文摘要
非对称轨形提供了被称为T-折叠（T-folds）的非几何构造的具体例子。我们识别了六维非对称二阶轨形的所有Z2点群。在II型弦理论的费米子点上，针对所有Z2点群，对SO(12)格上的二阶T-折叠构型进行了分类。这些构型上的模型谱以参数形式给出，用某些广义GSO相位表示。对于六个T-折叠构型，最小有效霍奇数被发现为(h_{11},h_{12})=(1,1)。我们推测了镜对称映射的非对称推广。在分类中，我们识别了使用基本世界面宇称的可定向化构型。对应于纯非对称扭曲的扭曲扇区可能包含自旋为3/2的Rarita-Schwinger多重态。在整篇论文中，广义GSO投影被选择为保留最大可能的超对称性。放宽这一条件，我们识别了可以构造非超对称T-折叠的二阶点群。由于其中一些可能增强为N=1甚至N=2超引力，我们认为自旋3/2态的出现必然意味着谱必须以超对称方式重新排列，因此真空能量为零。
英文摘要
Asymmetric orbifolds provide concrete examples of non-geometric constructions dubbed T-folds. All Z2 point groups of six dimensional asymmetric order-two orbifolds are identified. The order-two T-fold configurations on the SO(12) lattice are classified at the fermionic point of type II string theories for all Z2 point groups. The spectra of the models on these configurations are presented parametrically, in terms of certain generalised GSO phases. The minimal effective Hodge numbers were found to be (h_{11},h_{12})=(1,1) for six T-fold configurations. Asymmetric generalisations of the mirror symmetry map are conjectured. The orientifoldable configurations using the basic worldsheet parity were identified within the classification. Twisted sectors corresponding to pure asymmetric twists may contain Rarita-Schwinger multiplets with spin-3/2 states. Throughout the paper, generalised GSO projections are chosen to preserve the maximal amount of supersymmetry possible. Relaxing this, the order-two point groups were identified for which non--supersymmetric T-folds can be constructed. Since some of them may enhance to N=1 or, even, N=2 supergravities, we argue that appearance of spin-3/2 states necessarily implies that the spectrum has reorder itself in a supersymmetric fashion and hence that the vacuum energy vanishes.
Comments58 pages LaTeX, 2 figures, 21 tables
