Classification of Standard-like Heterotic-String Vacua

Faraggi, AE ORCID: 0000-0001-7123-6414, Rizos, J and Sonmez, H (2018) Classification of Standard-like Heterotic-String Vacua. Nuclear Physics B, 927. pp. 1-34.

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Abstract

We extend the free fermionic classification methodology to the class of standard-like heterotic-string vacua, in which the $SO(10)$ GUT symmetry is broken at the string level to $SU(3)\times SU(2)\times U(1)^2$. The space of GGSO free phase configurations in this case is vastly enlarged compared to the corresponding $SO(6)\times SO(4)$ and $SU(5)\times U(1)$ vacua. Extracting substantial numbers of phenomenologically viable models therefore requires a modification of the classification methods. This is achieved by identifying conditions on the GGSO projection coefficients, which are satisfied at the $SO(10)$ level by random phase configurations, and that lead to three generation models with the $SO(10)$ symmetry broken to the $SU(3)\times SU(2)\times U(1)^2$ subgroup. Around each of these fertile $SO(10)$ configurations, we perform a complete classification of standard-like models, by adding the $SO(10)$ symmetry breaking basis vectors, and scanning all the associated GGSO phases. Following this methodology we are able to generate some $10^7$ three generation Standard-like Models. We present the results of the classification and one exemplary model with distinct phenomenological properties, compared to previous SLM constructions.

Item Type:	Article
Additional Information:	37 pages. 3 figures. 9 tables
Uncontrolled Keywords:	hep-th, hep-th, hep-ph
Depositing User:	Symplectic Admin
Date Deposited:	15 Nov 2017 14:02
Last Modified:	19 Jan 2023 06:53
DOI:	10.1016/j.nuclphysb.2017.12.006
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3009811