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A glossary overview of the phenomenological studies of quasi-realistic free fermionic heterotic string models is presented. I elaborate on the correspondence of these models with Z2XZ2 orbifolds.

High Energy Physics - Theory · Physics 2008-09-17 Alon E. Faraggi

The first particle physics observable whose origin may be sought in string theory is the triple replication of the matter generations. The class of Z2XZ2 orbifolds of six dimensional compactified tori, that have been most widely studied in…

High Energy Physics - Theory · Physics 2010-04-05 A. E. Faraggi , C. Kounnas , S. E. M. Nooij , J. Rizos

This chapter is an introduction to the Free Fermionic Formulation of String Theory, with emphasis on heterotic model building. After a brief review of bosonization in two dimensional conformal field theories, we discuss how internal bosonic…

High Energy Physics - Theory · Physics 2025-10-27 Ioannis Florakis , 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 examine the problem of constructing three generation free fermionic string models with grand unified gauge groups. We attempt the construction of $G\times G$ models, where $G$ is a grand unified group realized at level 1. This structure…

High Energy Physics - Theory · Physics 2009-10-28 D. Finnell

The experimental data of the past decade suggests that the quantum gravity vacuum should possess two key ingredients. The existence of three generations and their embedding in SO(10) representations. The Z2XZ2 orbifold of the heterotic…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. E. Faraggi

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

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

This thesis provides a classification of the chiral content of the heterotic $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models. We show that the chiral content of the heterotic $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models at any…

High Energy Physics - Theory · Physics 2007-05-23 S. E. M. Nooij

Quasi--realistic heterotic-string models in the free fermionic formulation typically contain an anomalous U(1), which gives rise to a Fayet-Iliopolous term that breaks supersymmetry at the one--loop level in string perturbation theory.…

High Energy Physics - Phenomenology · Physics 2015-05-28 G. Cleaver , A. E. Faraggi , J. Greenwald , D. Moore , K. Pechan , E. Remkus , T. Renner

I discuss the problem of generation mass hierarchy in the context of realistic superstring models which are constructed in the free fermionic formulation. These models correspond to models which are compactified on $Z_2\times Z_2$ orbifold.…

High Energy Physics - Phenomenology · Physics 2009-10-22 Alon E. Faraggi

The NAHE-set, that underlies the realistic free fermionic models, corresponds to Z2XZ2 orbifold at an enhanced symmetry point, with (h_{11},h_{21})=(27,3). Alternatively, a manifold with the same data is obtained by starting with a Z2XZ2…

High Energy Physics - Theory · Physics 2011-07-19 David J. Clements , Alon E. Faraggi

In the four dimensional free fermionic formulation of the heterotic string, a semi-realistic $SU(4)\times SU(2)_L \times SU(2)_R$ model is proposed with three fermion generations in $(4,2,1)+(\bar 4,1,2)$ representations. The gauge symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. K. Leontaris

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 data from collider experiments and cosmic observatories indicates the existence of three light matter generations. In some classes of string compactifications the number of generations is related to a topological quantity, the Euler…

High Energy Physics - Theory · Physics 2010-04-05 Ron Donagi , Alon E. Faraggi

Quasi-realistic string models in the free fermionic formulation typically contain an anomalous U(1), which gives rise to a Fayet-Iliopoulos D-term that breaks supersymmetry at the one--loop level in string perturbation theory. Supersymmetry…

High Energy Physics - Theory · Physics 2008-11-26 Gerald B. Cleaver , Alon E. Faraggi , Elisa Manno , Cristina Timirgaziu

An overview of old and new results in studies of the quasi-realistic free fermionic models is presented, which include the recent discovery of exophobic string vacua and reproduction of the Higgs-matter splitting mechanism in a…

High Energy Physics - Theory · Physics 2015-05-18 Alon E. Faraggi

The aim of superstring phenomenology is to develop the tools and methodology needed to confront string theory with experimental data. The first mandatory task is to find string solutions which reproduce the observable data. The subsequent…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. B. Cleaver , A. E. Faraggi , D. V. Nanopoulos , T. ter Veldhuis

We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and {\it twisted} versions of conventional supersymmetric sigma models with N=2…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Catterall , Sofiane Ghadab

A review of orbifold geometry is given, followed by a review of the construction of four-dimensional heterotic string models by compactification on a six-dimensional Z_3 orbifold. Particular attention is given to the details of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joel Giedt