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F-theory on Spin(7) manifolds: weak-coupling limit

机译:F-Porights旋转(7)歧管:弱耦合极限

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A bstract F-theory on appropriately fibered Spin(7) holonomy manifolds is defined to arise as the dual of M-theory on the same space in the limit of a shrinking fiber. A class of Spin(7) orbifolds can be constructed as quotients of elliptically fibered Calabi-Yau fourfolds by an anti-holomorphic involution. The F-theory dual then exhibits one macroscopic dimension that has the topology of an interval. In this work we study the weak-coupling limit of a subclass of such constructions and identify the objects that arise in this limit. On the Type IIB side we find space-time filling O7-planes as well as O5- planes and orbifold five-planes with a (?1)_( FL )factor localised on the interval boundaries. These orbifold planes are referred to as X5-planes and are S-dual to a D5-O5 system. For other involutions exotic O3-planes and X3-planes on top of a six-dimensional orbifold singularity can appear. We show that the objects present preserve a mutual supersymmetry of four supercharges in the bulk of the interval and two supercharges on the boundary. It follows that in the infinite-interval and weak-coupling limit full four-dimensional $ mathcal{N} $ = 1 supersymmetry is restored, which on the Type IIA side corresponds to an enhancement of supersymmetry by winding modes in the vanishing interval limit.
机译:在适当的纤维旋转(7)上的Bstract F理论定义为在收缩纤维极限的相同空间中作为M-理论的双重的频率。一类旋转(7)颗粒可以通过抗全统称的阴部构建为椭圆纤维的Calabi-yau四倍的商。然后,F理论双向表现出一个具有间隔拓扑的宏观尺寸。在这项工作中,我们研究这种结构的子类的弱耦合限制,并识别出在该极限中产生的物体。在IIB类型的侧面,我们找到时空填充O7-PLANES以及O5飞机和ORBIFOLD五平面,其中(?1)_(fl)因子定位在间隔边界上。这些Orbifold平面被称为X5平面,并且是D5-O5系统的S双向。对于其他涉及六维奇异性奇异性顶部的异国情调的O3平面和X3平面。我们表明,物体存在于间隔体中的四个增压和两个上限上的四个增压的相互超偿。因此,在无限间隔和弱耦合限度完整四维$ mathcal {n} $ = 1超对对称于恢复的IIA侧,其对应于通过卷绕模式在消失间隔限制中提高超对称的增强。

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