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We present an analysis showing how anomaly free fermionic spectra with consistent embeddings of the Standard Model spectrum under $SU(3)_C\times SU(2)_L\times U(1)_Y \subset SU(3)_C\times SU(N)_L\times U(1)_X$ for any $N>2$ can be obtained,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Otto C. W. Kong

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 heterotic--string models in the free fermionic formulation gave rise to some of the most realistic string models to date, which possess N=1 spacetime supersymmetry. Lack of evidence for supersymmetry at the LHC instigated recent…

High Energy Physics - Theory · Physics 2016-04-26 Johar M. Ashfaque , Panos Athanasopoulos , Alon E. Faraggi , Hasan Sonmez

We explore the postulates of string no-scale supergravity in the context of free-fermionic string models. The requirements of vanishing vacuum energy, flat directions of the scalar potential, and stable no-scale mechanism impose strong…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Lopez , D. Nanopoulos

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

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 study the cosmology of a string derived supersymmetric flipped $SU(5)$ model in the context of free-fermionic heterotic constructions that allow full calculability of the effective supergravity in perturbation theory around the fermionic…

High Energy Physics - Theory · Physics 2021-03-12 Ignatios Antoniadis , Dimitri V. Nanopoulos , John Rizos

In a recent paper, we identified a cosmological sector of a flipped $SU(5)$ model derived in the free fermionic formulation of the heterotic superstring, containing the inflaton and the goldstino superfields with a superpotential leading to…

High Energy Physics - Theory · Physics 2022-10-25 Ignatios Antoniadis , Dimitri V. Nanopoulos , 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

An algorithm to systematically and efficiently generate free fermionic heterotic string models was recently introduced. This algorithm has been adopted by the Free Fermionic Model Construction (FFMC) program at Baylor University. As its…

High Energy Physics - Phenomenology · Physics 2010-04-21 Richard K. Obousy , Matthew B. Robinson , Gerald B. Cleaver

E_{8} X E_{8} heterotic string and M-theory, when compactified on smooth Calabi-Yau manifolds with SU(4) vector bundles, can give rise to softly broken N=1 supersymmetric theories with the exact matter spectrum of the MSSM, including three…

High Energy Physics - Theory · Physics 2014-11-20 T. Brelidze , B. Ovrut

Three generation heterotic-string vacua in the free fermionic formulation gave rise to models with solely the MSSM states in the observable Standard Model charged sector. The relation of these models to Z_2 x Z_2 orbifold compactifications…

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

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 realistic free fermionic models have had an intriguing success in explaining different properties of the observed particle spectrum. In this paper we discuss in some detail the anomalous U(1) symmetry which exists in these models. We…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gerald B. Cleaver , 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 observation of a scalar resonance at the LHC, compatible with perturbative electroweak symmetry breaking, reinforces the Standard Model parameterisation of all subatomic data. The logarithmic evolution of the SM gauge and matter…

High Energy Physics - Theory · Physics 2014-04-22 Alon E. Faraggi

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, by studying exact flat directions of non-Abelian singlet fields, we demonstrated the existence of free fermionic heterotic-string models in which the SU(3)_C x SU(2)_L x U(1)_Y-charged matter spectrum, just below the string scale,…

High Energy Physics - Phenomenology · Physics 2016-09-06 G. B. Cleaver , A. E. Faraggi , D. V. Nanopoulos , Joel W. Walker

I discuss in detail the construction of realistic superstring standard--like models in the four dimensional free fermionic formulation. The analysis results in a restricted class of models with unique characteristics: (i) Three and only…

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