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The classification method of the free fermionic heterotic string vacua is extended to models where the $SO(10)$ GUT symmetry is broken directly at the string scale to the Left-Right Symmetric subgroup. Our method involves using a fixed set…

High Energy Physics - Theory · Physics 2018-11-01 Alon E. Faraggi , Glyn Harries , John Rizos

We extend the classification of the free fermionic heterotic-string vacua to models in which the SO(10) GUT symmetry at the string scale is broken to the flipped SU(5) subgroup. In our classification method, the set of basis vectors defined…

High Energy Physics - Phenomenology · Physics 2014-10-01 Alon E. Faraggi , John Rizos , Hasan Sonmez

We extend the classification of free fermionic heterotic-string models to vacua in which the SO(10) GUT symmetry is broken at the string level to the Pati-Salam subgroup. Using our classification method we recently presented the first…

High Energy Physics - Theory · Physics 2011-05-10 Benjamin Assel , Kyriakos Christodoulides , Alon E. Faraggi , Costas Kounnas , John Rizos

Classification of Left-Right Symmetric (LRS) heterotic-string vacua in the free fermionic formulation, using random generation of generalised GSO (GGSO) projection coefficients, produced phenomenologically viable models with probability…

High Energy Physics - Theory · Physics 2020-03-16 Alon E. Faraggi , Glyn Harries , Benjamin Percival , John Rizos

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…

High Energy Physics - Theory · Physics 2015-06-11 Alon E. Faraggi , Hasan Sonmez

We report some recent progress towards classification of phenomenologically appealing heterotic string models in the Free Fermionic Formulation. We focus on a class of Z2xZ2 models with SO(10) space-time gauge symmetry and study their main…

High Energy Physics - Phenomenology · Physics 2015-05-28 J. Rizos

Systematic classification of Z2xZ2 orbifold compactifications of the heterotic-string was pursued by using its free fermion formulation. The method entails random generation of string vacua and analysis of their entire spectra, and led to…

High Energy Physics - Theory · Physics 2020-12-30 Alon E. Faraggi , Glyn Harries , Benjamin Percival , John Rizos

In this paper, an extension of the classification of flipped SU(5) heterotic-string vacua from [1] with a variation of the SO(10) breaking $\alpha$ basis vector is presented. A statistical sampling in the space of $2^{45}$ flipped SU(5)…

High Energy Physics - Theory · Physics 2016-06-09 Hasan Sonmez

I discuss the existence of discrete properties in the landscape of free fermionic heterotic-string vacua that were discovered via their classification by SO(10) GUT models and its subgroups such as the Pati-Salam, Flipped SU(5) and SU(4) x…

High Energy Physics - Theory · Physics 2015-08-04 Hasan Sonmez

Recently it was demonstrated that free fermionic heterotic-strings can produce models with solely the Minimal Supersymmetric Standard Model states in the low energy spectrum. This unprecedented result provides further strong evidence for…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gerald B. Cleaver , Alon E. Faraggi , Christopher Savage

The Standard Model data suggests the realization of grand unification structures in nature, in particular that of SO(10). A class of string vacua that preserve the SO(10) embedding, are the three generation free fermion heterotic-string…

High Energy Physics - Theory · Physics 2007-05-23 Alon E. Faraggi

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…

High Energy Physics - Theory · Physics 2021-08-11 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

The free fermionic classification method provides a powerful tool to investigate string vacua, which led to the discovery of spinor--vector duality and exophobic string models. We extend the classification methodology to both…

High Energy Physics - Theory · Physics 2022-08-12 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

The three generation heterotic-string models in the free fermionic formulation are among the most realistic string vacua constructed to date, which motivated their detailed investigation. The classification of free fermion heterotic string…

High Energy Physics - Theory · Physics 2010-07-13 C. Angelantonj , A. E. Faraggi , M. Tsulaia

Phenomenologically viable string vacua may require incorporating Kac-Moody algebras at level $\geq 2$. We exploit the free fermionic formulation to construct N=(0,2) world-sheet supersymmetric string models with specific phenomenological…

High Energy Physics - Theory · Physics 2007-05-23 S. Chaudhuri , S. -W. Chung , G. Hockney , J. Lykken

Recently it was proposed that ten-dimensional tachyonic string vacua may serve as starting points for the construction of viable four dimensional phenomenological string models which are tachyon free. This is achieved by projecting out the…

High Energy Physics - Theory · Physics 2020-11-12 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

The main aspects of a recently developed method for classification of heterotic superstring vacua in the Free Fermionic Formulation are presented. Using these techniques we classify a big number of approximately $10^{15}$ heterotic string…

High Energy Physics - Theory · Physics 2015-05-18 J. Rizos

The heterotic-string models in the free fermionic formulation are among the most realistic string vacua constructed to date, which motivates their detailed exploration. Classification of free fermionic heterotic-string vacua revealed a…

High Energy Physics - Theory · Physics 2015-05-27 Alon E. Faraggi

We use the free fermionic formulation of the heterotic-string in four dimensions to study the vacuum structure and energy of non-supersymmetric tachyon free models that correspond to compactifications of tachyonic vacua of the ten…

High Energy Physics - Theory · Physics 2024-08-08 Luke A. Detraux , Alonzo R. Diaz Avalos , Alon E. Faraggi , Benjamin Percival

The evidence for neutrino masses in atmospheric and solar neutrino experiments provides further support for the embedding of the Standard Model fermions in the chiral 16 SO(10) representation. Such an embedding is afforded by the realistic…

High Energy Physics - Theory · Physics 2011-07-19 Alon E. Faraggi , Richard Garavuso , Jose M. Isidro
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