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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

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 present an extensive search for a general class of flipped $SU(5)$ models built within the free fermionic formulation of the heterotic string. We describe a set of algorithms which constitute the basis for a computer program capable of…

High Energy Physics - Theory · Physics 2009-10-22 J. Lopez , D. Nanopoulos , K. Yuan

The heterotic string free fermionic formulation produced a large class of three generation models, with an underlying SO(10) GUT symmetry which is broken directly at the string level by Wilson lines. A common subset of boundary condition…

High Energy Physics - Theory · Physics 2014-11-18 Alon E. Faraggi

The three generation superstring models in the free fermionic models have had remarkable success in describing the real--world. The most explored models use the NAHE set to obtain three generations and to separate the hidden and observable…

High Energy Physics - Theory · Physics 2007-05-23 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

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

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

In quasi-realistic string models that contain an anomalous U(1) the non-zero Fayet-Iliopoulos term triggers the shifting of the original vacuum to a new one along some flat direction, so that SUSY is preserved but the gauge group is…

High Energy Physics - Theory · Physics 2009-09-17 Gerald Cleaver , Mirjam Cvetic , Jose R. Espinosa , Lisa Everett , Paul Langacker

From the "top-down" approach we investigate physics implications of the class of D- and F- flat directions formed from non-Abelian singlets which are proven flat to all orders in the nonrenormalizable superpotential, for a prototype…

High Energy Physics - Phenomenology · Physics 2009-09-17 G. Cleaver , M. Cvetic , J. R. Espinosa , L. Everett , P. Langacker , J. Wang

Three family SU(3)_C x SU(2)_L x U(1)_Y string models in several constructions generically possess two features: (i) an extra local anomalous U(1)_A and (ii) numerous (often fractionally charged) exotic particles beyond those in the minimal…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. B. Cleaver , A. E. Faraggi , D. V. Nanopoulos

Recently, we demonstrated the existence of heterotic--string solutions in which the observable sector effective field theory just below the string scale reduces to that of the MSSM, with the standard observable gauge group being just…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. B. Cleaver , A. E. Faraggi , D. V. Nanopoulos , J. W. Walker

In the first part of this paper I review the construction of the realistic free fermionic models, as well as current attempts to study aspects of these models in the nonperturbative framework of M- and F-theories. I discuss the recent…

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

We present a variation of the NAHE-basis for free fermionic heterotic string models. By rotating some of the boundary conditions of the NAHE periodic/anti-periodic fermions {y^m, \bar{y}^m, w^m, \bar{w}^m,}, for m = 1 to 6, associated with…

High Energy Physics - Phenomenology · Physics 2011-07-13 Jared Greenwald , Douglas Moore , Kristen Pechan , Tim Renner , Tibra Ali , Gerald Cleaver

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

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 orbifold GUT doublet-triplet splitting mechanism was discussed in 1994 in the framework of the NAHE-based free fermionic models in which the SO(10) GUT symmetry is broken to SO(6) X SO(4), SU(3) X SU(2) X U(1)^2, or SU(3) X U(1) X…

High Energy Physics - Phenomenology · Physics 2015-06-25 Gerald B. Cleaver , Alon E. Faraggi , Sander Nooij

We continue the investigation of the physics implications of a class of flat directions for a prototype quasi-realistic free fermionic string model (CHL5), building upon the results of the previous paper in which the complete mass spectrum…

High Energy Physics - Phenomenology · Physics 2009-09-17 G. Cleaver , M. Cvetic , J. R. Espinosa , L. Everett , P. Langacker , J. Wang

The quasi-realistic free fermionic heterotic-string models provide some of the most detailed examples to explore the phenomenology of string unification. While providing a powerful tool to generate models and their spectra, understanding…

High Energy Physics - Theory · Physics 2011-07-19 Alon E. Faraggi , Mirian Tsulaia

The only string models known to reproduce the Minimal Supersymmetric Standard Model in the low energy effective field theory are those constructed in the free fermionic formulation. We demonstrate the existence of quasi-realistic free…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gerald B. Cleaver , David J. Clements , Alon E. Faraggi
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