Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
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费米子 Z2XZ2 杂变轨道模型中的旋矢量对偶性
DOI：
10.1016/j.nuclphysb.2007.03.029
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
J. Rizos
中科院分区：
文献类型：
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作者：
A. Faraggi;C. Kounnas;J. Rizos
我们继续对具有对称内位移的费米子Z2× Z2杂化弦真空进行了分类.通过使用固定的边界条件基向量集和通过改变独立的广义GSO（GGSO）投影系数集（离散扭转）来扩展模型的空间。这包括具有（2，2）世界片超共形对称性的类卡-丘紧化，以及更一般的仅具有（2，0）超共形对称性的真空。与我们早期利用蒙特卡罗技术生成随机的GGSO相集的分类相反，在本文中，我们给出了模型子类的完整分类结果，其中四维规范群仅来自零扇区。与统计分类的结果一致，我们发现一个钟形分布，峰值在消失的净世代数和约15%的模型具有三个净手性家族。完整的分类揭示了一个新的旋量向量对偶对称性在整个真空空间。St ParticipIV对偶将旋量加反旋量表示与矢量表示互换。我们提出的数据，证明了旋矢量的对偶性。我们在一个具体的例子中说明了对偶映射的存在性。我们提供了一个一般的代数证明的存在性的St ParticipV对偶映射。我们讨论的情况下，具有相同数量的矢量和旋量的自对偶解决方案，在存在和不存在的E6规范对称性，并提出了一对夫妇的具体例子，没有E6对称性的自对偶模型。
We continue the classification of the fermionic Z2×Z2heterotic string vacua with symmetric internal shifts. The space of models is spanned by working with a fixed set of boundary condition basis vectors and by varying the sets of independent Generalized GSO (GGSO) projection coefficients (discrete torsion). This includes the Calabi–Yau like compactifications with (2,2) world-sheet superconformal symmetry, as well as more general vacua with only (2,0) superconformal symmetry. In contrast to our earlier classification that utilized a Monte Carlo technique to generate random sets of GGSO phases, in this paper we present the results of a complete classification of the subclass of the models in which the four-dimensional gauge group arises solely from the null sector. In line with the results of the statistical classification we find a bell shaped distribution that peaks at vanishing net number of generations and with ∼15% of the models having three net chiral families. The complete classification reveals a novel spinor-vector duality symmetry over the entire space of vacua. The St↔V duality interchanges the spinor plus anti-spinor representations with vector representations. We present the data that demonstrates the spinor-vector duality. We illustrate the existence of a duality map in a concrete example. We provide a general algebraic proof for the existence of the St↔V duality map. We discuss the case of self-dual solutions with an equal number of vectors and spinors, in the presence and absence of E6gauge symmetry, and presents a couple of concrete examples of self-dual models without E6symmetry.