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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

We generalize the rules for the free fermionic string construction to include other asymmetric orbifolds with world-sheet bosons. We use these rules to construct various grand unified string models that involve level-3 current algebras. We…

High Energy Physics - Theory · Physics 2009-10-30 Zurab Kakushadze , S. -H. Henry Tye

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

I discuss the construction of realistic superstring standard--like models in the four dimensional free fermionic formulation. I discuss the massless spectrum of the superstring standard--like models and the texture of fermion mass matrices.…

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

The $Z_2\times Z_2$ heterotic string orbifold gives rise to a large space of phenomenological three generation models that serves as a testing ground to explore how the Standard Model of particle physics may be incorporated in a theory of…

High Energy Physics - Theory · Physics 2021-01-26 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

We explore the use of real fermionization as a test case for understanding how specific features of phenomenological interest in the low-energy effective superpotential are realized in exact solutions to heterotic superstring theory. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Chaudhuri , S. -wei Chung , G. Hockney , J. Lykken

We examine how to construct explicit heterotic string models dual to F-theory in eight dimensions. In doing so we learn about where the moduli spaces of the two theories overlap, and how non-perturbative features leave traces on a purely…

High Energy Physics - Theory · Physics 2016-09-06 Donal O'Driscoll

The rules for the free fermionic string model construction are extended to include general non-abelian orbifold constructions that go beyond the real fermionic approach. This generalization is also applied to the asymmetric orbifold rules…

High Energy Physics - Theory · Physics 2009-10-30 Zurab Kakushadze , Gary Shiu , S. -H. Henry Tye

In the framework of the four dimensional heterotic superstring with free fermions we present a revised version of the rank eight Grand Unified String Theories (GUST) which contain the $SU(3)_H$-gauge family symmetry. We also develop some…

High Energy Physics - Phenomenology · Physics 2019-08-15 A. A. Maslikov , I. A. Naumov , G. G. Volkov

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

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

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

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

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 obtain three generation SU(3)_c X SU(2)_L X U(1)_Y string models in all of the exactly solvable (0,2) constructions sampled by fermionization. None of these examples, including those that are symmetric abelian orbifolds, rely on the Z_2…

High Energy Physics - Theory · Physics 2009-10-28 Shyamoli Chaudhuri , George Hockney , Joseph D. Lykken

The algebraic elements of gravitational and Standard Model gauge fields acting on a generation of fermions may be represented using real matrices. These elements match a subalgebra of spin(11,3) acting on a Majorana-Weyl spinor, consistent…

General Relativity and Quantum Cosmology · Physics 2010-06-28 A. Garrett Lisi

We use a new approach to study string scale gauge coupling unification systematically, allowing both the possibility of non-canonical U(1)_Y normalization and the existence of vector-like particles whose quantum numbers are the same as…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Barger , Jing Jiang , Paul Langacker , Tianjun Li

Leptoquarks extending the Standard Model (SM) are attracting an increasing attention in the recent literature. Hence, the identification of 4D SM-like models and the classification of allowed leptoquarks from strings is an important step in…

High Energy Physics - Theory · Physics 2021-09-08 Ricardo Perez-Martinez , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

We study dilaton stabilization in heterotic string models. By utilizing the asymmetric orbifold construction, we construct an explicit three-generation model whose matter content in the visible sector is the supersymmetric standard model…

High Energy Physics - Theory · Physics 2016-08-03 Florian Beye , Tatsuo Kobayashi , Shogo Kuwakino

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