论文标题
So(32)杂种弦的大统一模型
Grand unfication models from SO(32) heterotic string
论文作者
论文摘要
大统一组(肠道)是通过$ \ z_ {12-i} $ orbifold cartactification从SO(32)异源字符串构建的。到目前为止,大多数来自弦乐紧凑型的现象学研究都依赖于$ \ ee8 $杂丝,这引起了SO(32)杂种弦,对将来的现象学研究非常有用。在这里,通过对SU($ n $)的反对称张量表示来实现自发对称性破裂。本文中提出的反su($ n $)与SO的旋转表示($ 2N $)的翻转SU($ n $)完全不同。在这里,我们意识到手性表示:$ \ tsix \ oplus 5 \ cdot \ nineb $用于su(9)肠道和$ 3 \ {{\ ten}'_ l \ oplus {\ fix fix fix fift}'_ l \ \}'_ l \ \} $ for su(su(5)$'$'$ ut。特别是,我们确认SU(9)量规组的非亚洲异常消失,因此我们的紧凑型方案达到了关键要求。我们还介绍了Yukawa联轴器,特别是最重的费米昂,$ t $和最轻的费米子,中微子。在超对称版本中,我们提出了一个方案,如何通过限制量规组SU(9)动态地打破超对称性。可见行业中的三个家庭被解释为SU(5)$'$ ut的手性光谱。
Grand unification groups (GUTs) are constructed from SO(32) heterotic string via $\Z_{12-I}$ orbifold compactification. So far, most phenomenological studies from string compactification relied on $\EE8$ heterotic string, and this invites the SO(32) heterotic string very useful for future phenomenological studies. Here, spontaneous symmetry breaking is achieved by Higgsing of the anti-symmetric tensor representations of SU($N$). The anti-SU($N$) presented in this paper is a completely different class from the flipped-SU($N$)s from the spinor representations of SO($2N$). Here, we realize chiral representations: $\tsix\oplus 5\cdot\nineb $ for a SU(9) GUT and $3\{{\ten}'_L\oplus {\fiveb}'_L\}$ for a SU(5)$'$ GUT. In particular, we confirm that the non-Abelian anomalies of SU(9) gauge group vanish and hence our compactification scheme achieves the key requirement. We also present the Yukawa couplings, in particular for the heaviest fermion, $t$, and lightest fermions, neutrinos. In the supersymmetric version, we present a scenario how supersymmetry can be broken dynamically via the confining gauge group SU(9). Three families in the visible sector are interpreted as the chiral spectra of SU(5)$'$ GUT.