Classification of SU(4) X SU(2) X U(1) Heterotic-String Models
| Autor: | Faraggi, Alon E., Sonmez, Hasan |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 91, 066006 (2015) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.91.066006 |
| Popis: | The free fermionic construction of the heterotic string in four dimensions produced a large space of three generation models with the underlying $SO(10)$ embedding of the Standard Model states. The $SO(10)$ symmetry is broken to a subgroup directly at the string scale. Over the past few years free fermionic models with the Pati-Salam and flipped $SU(5)$ subgroups have been classified. In this paper we extend this classification program to models in which the $SO(10)$ symmetry is broken at the string level to the $SU(4)\times SU(2)_L\times U(1)_R$ (SU421) subgroup. The subspace of free fermionic models that we consider corresponds to symmetric ${\mathbb{Z}}_2 \times {\mathbb{Z}}_2$ orbifolds. We provide a general argument that shows that this class of SU421 free fermionic models cannot produce viable three generation models. Comment: Publication Version (Notes: 16 Pages & References added) |
| Databáze: | arXiv |
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