On mirror maps for manifolds of exceptional holonomy
On mirror maps for manifolds of exceptional holonomy
复制标题
在镜像映射上获得异常完整的流形
DOI：
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发表时间：
2019
影响因子：
5.4
通讯作者：
Alexander Otto
中科院分区：
文献类型：
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作者：
A. P. Braun;Suvajit Majumder;Alexander Otto
我们研究了流形上具有特殊完整群G2和Spin（7）的II型弦的镜像对称性。我们的中心结果是构造了实现为广义连通和的Spin（7）流形的镜像。与扭曲连通和G2流形平行，这样的自旋（7）流形的镜像可以通过将镜像对称应用于它们所胶合的非紧流形对来找到。为了对这种几何镜像构造提供非平凡的检验，我们对Joyce orbifolds在Spin（7）和G2情形下的镜像映射进行了CFT分析。对于所有这些模型，我们找到了离散扭转相位的可能分配，计算出镜像对称的作用，并确认与几何结构的一致性。在我们分析的例子中出现的一个新特征是冻结奇点的可能性。
We study mirror symmetry of type II strings on manifolds with the exceptional holonomy groups G2 and Spin(7). Our central result is a construction of mirrors of Spin(7) manifolds realized as generalized connected sums. In parallel to twisted connected sum G2 manifolds, mirrors of such Spin(7) manifolds can be found by applying mirror symmetry to the pair of non-compact manifolds they are glued from. To provide non-trivial checks for such geometric mirror constructions, we give a CFT analysis of mirror maps for Joyce orbifolds in several new instances for both the Spin(7) and the G2 case. For all of these models we find possible assignments of discrete torsion phases, work out the action of mirror symmetry, and confirm the consistency with the geometrical construction. A novel feature appearing in the examples we analyse is the possibility of frozen singularities.