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arXiv 2209.03361hep-th
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新的离散θ角超对称弦论

New Supersymmetric String Theories from Discrete Theta Angles

Miguel Montero, Hector Parra de Freitas

摘要:

我们在$d\geq 7$中描述了极小超对称弦论的模空间的三个以前未被注意到的组成部分,详细描述了它们的谱和对偶性质。我们在9维和8维中发现了一个新的成分,在7维中又发现了两个新的成分。这些理论最初是在K3晶格中可能的F/M理论奇点冻结模式的自下而上分类中发现的,在一篇配套论文中描述。9d/8d分量可以理解为Klein瓶在圆上的扭曲纤维化的F/M理论,而新的7维分量可以描述为Bieberbach流形上的IIB,具有对偶丛和RR-NSNS背景。然而,大质量天体的光谱是非常不同的,最引人注目的是,它们具有不完整的BPS弦晶格,这表明即使有16个超荷,弦的BPS完全性也不是真的。在所有的情况下,我们发现每个电荷值的非BPS代表,所以完全性原则是满足的。我们还分析了非超对称弦论中类似的θ角,并详细解释了为什么1304.1551中提出的I型离散$θ$角是非物理的,用它来澄清$O8$平面中的某些非微扰现象。

英文摘要:

We describe three previously unnoticed components of the moduli space of minimally supersymmetric string theories in $d\geq 7$, describing in some detail their spectrum and duality properties. We find a new component in nine and eight dimensions, and two additional ones in seven dimensions. These theories were originally discovered in a bottom-up classification of possible F/M-theory singularity freezing patterns in the K3 lattice, described in a companion paper. The 9d/8d component can be understood as F/M-theory on a twisted fibration of the Klein bottle over a circle, while the new seven-dimensional components are described as IIB on Bieberbach manifolds with a duality bundle and RR-NSNS backgrounds turned on. All the new components can be obtained from previously known theories by turning on certain discrete theta angles; however, the spectrum of massive objects is very different, and most strikingly, they feature an incomplete lattice of BPS strings, showing that string BPS completeness is not true in general even with sixteen supercharges. In all cases we find non-BPS representatives for each value of the charge, so the Completeness Principle is satisfied. We also analyze analogous theta angles in nonsupersymmetric string theories, and provide a detailed explanation of why the Type I discrete $θ$ angle proposed in 1304.1551 is unphysical, using this to clarify certain non-perturbative phenomena in $O8$ planes.

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