Classification of nonsupersymmetric Pati-Salam heterotic string models

Faraggi, Alon E ORCID: 0000-0001-7123-6414, Matyas, Viktor G and Percival, Benjamin (2021) Classification of nonsupersymmetric Pati-Salam heterotic string models. PHYSICAL REVIEW D, 104 (4). 046002-.

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Official URL: http://dx.doi.org/10.1103/PhysRevD.104.046002

Abstract

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.

Item Type:	Article
Additional Information:	37 pages. 5 figures. Standard LaTex. Added Comments
Uncontrolled Keywords:	hep-th, hep-th, hep-ph
Depositing User:	Symplectic Admin
Date Deposited:	16 Nov 2020 10:09
Last Modified:	18 Jan 2023 23:21
DOI:	10.1103/PhysRevD.104.046002
Open Access URL:	https://journals.aps.org/prd/abstract/10.1103/Phys...
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3106943