Faraggi, Alon E 
ORCID: 0000-0001-7123-6414 and Sonmez, Hasan
(2015)
Classification of <i>SU</i>(4) x <i>SU</i>(2) x <i>U</i>(1) heterotic-string models.
PHYSICAL REVIEW D, 91 (6).
066006-.
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Abstract
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.
| Item Type: | Article |
|---|---|
| Additional Information: | Publication Version (Notes: 16 Pages & References added) |
| Uncontrolled Keywords: | hep-th, hep-th, hep-ph |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 03 Mar 2017 09:13 |
| Last Modified: | 05 Oct 2023 09:26 |
| DOI: | 10.1103/PhysRevD.91.066006 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3006187 |
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