Twisting K3 × T2 orbifolds

Twisting K3 × T2 orbifolds
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扭转K3×T2 Orbifolds

DOI:
10.1088/1126-6708/2007/09/092
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发表时间:
2007
影响因子:
5.4
通讯作者:
M. Schulz
M. Schulz
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Cvetič;Tao Liu;M. Schulz

文献摘要

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构造了一类Voisin-Borcea型(K3 × T2)/2的Calabi-Yau流形的几何扭曲,并在此基础上研究了IIA型定向褶皱中的超势.扭曲通过在T2上对K3进行卷积来修改直积,同时保持2对合。作为一个重要的应用,Voisin-Borcea类包含T6/(2 × 2),这是建立相交D 6膜模型的常用设置。在这种情况下,过去的工作只考虑那些扭曲继承自T6,但我们的工作扩展这些扭曲的爆破模式的一个子集。我们的工作自然地推广到任意K3纤维卡-丘流形和非几何结构。
We construct a class of geometric twists of Calabi-Yau manifolds of Voisin-Borcea type (K3 × T2)/2 and study the superpotential in a type IIA orientifold based on this geometry. The twists modify the direct product by fibering the K3 over T2 while preserving the 2 involution. As an important application, the Voisin-Borcea class contains T6/(2 × 2), the usual setting for intersecting D6 brane model building. Past work in this context considered only those twists inherited from T6, but our work extends these twists to a subset of the blow-up modes. Our work naturally generalizes to arbitrary K3 fibered Calabi-Yau manifolds and to nongeometric constructions.