论文标题
非对称pati-salam杂丝弦模型的分类
Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
论文作者
论文摘要
我们将Fermionic $ \ Mathbb {Z} _2 \ times \ Mathbb {z} _2 _2 $杂种字符串orbifolds扩展到非supersymmetric pati-salam（ps）型号，我们在两类真空中，我们将其dub $ \ tilde s $ - 型号和$ s $ s $ s $ s $。第一个对应于速度十维真空的紧凑型，而第二个对应于十维tachyon-无$ so（16）\ times so（16）$异源字符串。在这两种情况下，我们都开发了一种系统的方法来提取无tachyon（无四维模型）。我们表明，tachyon-不含概率$ \ sim0.002 $和$ \ sim0.01 $在第一种和第二种情况下出现。我们适应了促进现象学模型提取的“生育方法”。我们表明，pati-salam $ \ tilde s $ - 模型不包含重型希格斯标量表示，这些标量表示将PS对称性打破标准模型，因此在现象学上不可行。因此，我们认为，在$ \ tilde s $中 - 模型$ so（10）$肠道对称性必须在字符串刻度上打破标准模型子组。在两种情况下，我们提取了含量相等数量的无质量骨和费米的自由度，$ {\ it i.e。} $，带有$ a_ {00} = n_b^0-n_f^0 = 0 $，并分析他们的一个 - loop分区函数。
We extend the classification of fermionic $\mathbb{Z}_2\times\mathbb{Z}_2$ heterotic string orbifolds to non--supersymmetric Pati--Salam (PS) models in two classes of vacua, that we dub $\tilde S$--models and $S$--models. The first correspond to compactifications of a tachyonic ten--dimensional vacuum, whereas the second correspond to compactifications of the ten--dimensional tachyon--free $SO(16)\times SO(16)$ heterotic string. In both cases we develop a systematic method to extract tachyon--free four--dimensional models. We show that tachyon--free configurations arise with probability $\sim0.002$ and $\sim0.01$ in the first and second case, respectively. We adapt the `fertility methodology' that facilitates the extraction of phenomenological models. We show that Pati--Salam $\tilde S$--models do not contain heavy Higgs scalar representations that are required to break the PS symmetry to the Standard Model and are therefore not phenomenologically viable. Hence, we argue that in $\tilde S$--models the $SO(10)$ GUT symmetry must be broken at the string scale to the Standard--like Model subgroup. We extract tachyon--free three generation models in both cases that contain an equal number of massless bosonic and fermionic degrees of freedom, ${\it i.e.}$ with $a_{00}=N_b^0-N_f^0=0$, and analyse their one--loop partition function.
