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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…

高能物理 - 理论 · 物理学 2009-10-30 Zurab Kakushadze , S. -H. Henry Tye

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…

高能物理 - 理论 · 物理学 2010-07-13 C. Angelantonj , A. E. Faraggi , M. Tsulaia

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…

高能物理 - 理论 · 物理学 2025-10-27 Ioannis Florakis , John Rizos

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…

高能物理 - 理论 · 物理学 2022-08-12 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

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…

高能物理 - 理论 · 物理学 2020-12-30 Alon E. Faraggi , Glyn Harries , Benjamin Percival , John Rizos

We develop a systematic classification of asymmetric $\mathbb{Z}_2$ orbifold actions in Pati--Salam heterotic string vacua constructed in the free fermionic formulation. Starting from symmetric $\mathbb{Z}_2 \times \mathbb{Z}_2$ orbifold…

高能物理 - 理论 · 物理学 2026-04-13 Luke A. Detraux , Alon E. Faraggi , Benjamin Percival

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…

高能物理 - 理论 · 物理学 2009-10-22 Alon E. Faraggi

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…

高能物理 - 理论 · 物理学 2007-05-23 S. Chaudhuri , S. -W. Chung , G. Hockney , J. Lykken

We consider 4-dimensional N=1 supersymmetric SO(10) models inspired by deconstruction of 5-dimensional N=1 supersymmetric orbifold SO(10) models and high dimensional non-supersymmetric SO(10) models with Wilson line gauge symmetry breaking.…

高能物理 - 唯象学 · 物理学 2009-11-10 Chao-Shang Huang , Jing Jiang , Tianjun Li

Four dimensional heterotic SO(32) orbifold models are classified systematically with model building applications in mind. We obtain all Z3, Z7 and Z2N models based on vectorial gauge shifts. The resulting gauge groups are reminiscent of…

高能物理 - 理论 · 物理学 2010-02-03 Kang-Sin Choi , Stefan Groot Nibbelink , Michele Trapletti

We consider the heterotic E8 X E8 string theory, which gives rise to four-dimensional Standard-like Models and allows for their SO(10) embedding. We investigate two different schemes of compactification: the free fermionic formulation and…

高能物理 - 理论 · 物理学 2009-08-24 E. Manno

Free fermionic models and symmetric heterotic toroidal orbifolds both constitute exact backgrounds that can be used effectively for phenomenological explorations within string theory. Even though it is widely believed that for Z2xZ2…

高能物理 - 理论 · 物理学 2016-04-15 P. Athanasopoulos , A. E. Faraggi , S. Groot Nibbelink , V. M. Mehta

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…

高能物理 - 唯象学 · 物理学 2019-08-15 A. A. Maslikov , I. A. Naumov , G. G. Volkov

We give a classification of 3-family SO(10) and E_6 grand unification in string theory within the framework of conformal field theory and asymmetric orbifolds. We argue that the construction of such models in the heterotic string theory…

高能物理 - 理论 · 物理学 2009-10-30 Zurab Kakushadze , S. -H. Henry Tye

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…

高能物理 - 理论 · 物理学 2007-05-23 S. E. M. Nooij

With the apparent discovery of the Higgs boson, the Standard Model has been confirmed as the theory accounting for all sub-atomic phenomena. This observation lends further credence to the perturbative unification in Grand Unified Theories…

高能物理 - 理论 · 物理学 2014-03-26 Laura Bernard , Alon E Faraggi , Ivan Glasser , John Rizos , Hasan Sonmez

In this paper we study the integrability of a family of models with U(1)xSU(N) symmetry. They admit fermionic and bosonic formulations related through bosonization and subsequent T-duality. The fermionic theory is just the CP^(N-1) sigma…

高能物理 - 理论 · 物理学 2015-06-05 Benjamin Basso , Adam Rej

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.…

高能物理 - 唯象学 · 物理学 2007-05-23 Alon E. Faraggi

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…

高能物理 - 唯象学 · 物理学 2007-05-23 Joel Giedt

Consistent heterotic free fermionic string models are classified in terms of their number of spacetime supersymmetries, N. For each of the six distinct choices of gravitino sector, we determine what number of supersymmetries can survive…

高能物理 - 理论 · 物理学 2014-11-18 Gerald B. Cleaver