显式构造的十维杂种优势弦模型中的冗余
Redundancies in Explicitly Constructed Ten Dimensional Heterotic String Models
摘要：
使用Baylor大学的C++软件构建弱耦合自由费米子杂种弦模型，称为FF框架，我们明确地构建了1级Kaplan-Moody十维杂种弦模型，目的是理解这种构建方法特有的冗余。我们表明，在任何偶数个大的时空维度与无质量的左移动和一个奇数有序的右移动的模型，时空超对称的最大数量。我们表明，为了产生一个给定的顺序的所有模型，必须建立不同的基向量，不能只改变GSO系数。我们还表明，两个2阶基向量的所有组合并不产生与所有可能的单个4阶基向量相同的模型，这意味着搜索中使用的阶数的乘积并不一定决定所构建的模型。我们还表明，要建立所有的D=10的1级模型的输入必须是：一组单阶6的基向量，对基向量的顺序3和2，或三组顺序2的基向量。
英文摘要：
Using Baylor University's C++ software for construction of weakly coupled free fermionic heterotic string models, called the FF Framework, we explicitly construct the level 1 Kač-Moody ten dimensional heterotic string models with the aim of understanding the redundancies endemic to this construction method. We show that for models in any even number of large space-time dimensions with a massless left mover and an odd ordered right mover, the maximal number of space-time supersymmetries are present. We show that in order to produce all of the models for a given order, different basis vectors must be built; one cannot vary only the GSO coefficients. We also show that all combinations of two order-2 basis vectors do not produce the same models as all possible single order-4 basis vectors, implying the product of the orders used in a search does not necessarily determine the models built. We also show that to build all of the D=10 level-1 models the inputs must be: sets of single order-6 basis vectors, pairs of basis vectors with orders 3 and 2, or sets of three order-2 basis vectors.
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