Grand unfication models from SO(32) heterotic string

Abstract

Grand unification groups (GUTs) are constructed from SO(32) heterotic string via ${\mathbb{Z}}_{12-I}$ 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)${}^{\prime }$ 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)${}^{\prime }$ GUT.

20 pages, no figure

References in corpus (9)

• The Heterotic Road to the MSSM with R parity
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model
• Towards unity of families: anti-SU(7) from Z(12-I) orbifold compactification
• A kind of prediction from string phenomenology: extra matter at low energy
• $L_{\mu }-L_{\tau }$ effects to quarks and leptons from flavor unification
• On the progenitor quark mass matrix

Cited by in corpus (2)

• Anomalies and parities for quintessential and ultra-light axions
• R-parity from string compactification