弦谱分类中的奇异性和离散性
Exotica and discreteness in the classification of string spectra
摘要：
我讨论了自由费米子杂化弦真空景观中离散性质的存在性，这些真空是通过SO（10）GUT模型及其子群（如Pati-Salam，Flipped SU（5）和SU（4）x SU（2）x U（1）模型）的分类发现的。通过固定一组基向量并改变进入单循环配分函数的GGSO投影系数来进行分类。通过推导GSO投影的代数表达式，使整个弦谱的计算机分析和大空间真空的扫描成为可能，从而便于模型的分析。分析揭示了离散的对称性，如在SO（10）水平上观察到的旋量-矢量对偶性和外疏Pati-Salam真空的存在。与Pati-Salam的情况相反，该分类表明不存在奇数代的排外翻转SU（5）真空。观察到SU（4）x SU（2）x U（1）模型受到更多的约束。
英文摘要：
I discuss the existence of discrete properties in the landscape of free fermionic heterotic-string vacua that were discovered via their classification by SO(10) GUT models and its subgroups such as the Pati-Salam, Flipped SU(5) and SU(4) x SU(2) x U(1) models. The classification is carried out by fixing a set of basis vectors and varying the GGSO projection coefficients entering the one-loop partition function. The analysis of the models is facilitated by deriving algebraic expressions for the GSO projections that enable a computerised analysis of the entire string spectrum and the scanning of large spaces of vacua. The analysis reveals discrete symmetries like the spinor-vector duality observed at the SO(10) level and the existence of exophobic Pati-Salam vacua. Contrary to the Pati-Salam case the classification shows that there are no exophobic Flipped SU(5) vacua with an odd number of generations. It is observed that the SU(4) x SU(2) x U(1) models are substantially more constrained.
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