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We develop a formalism that allows a complete classification of four-dimensional Z2XZ2 heterotic string models. Three generation models in a sub-class of these compactifications are related to the existence of three twisted sectors in Z2XZ2…

High Energy Physics - Theory · Physics 2007-05-23 A. E. Faraggi , C. Kounnas , S. E. M. Nooij , J. Rizos

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

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

We discuss heterotic strings on Z_2 x Z_2 orbifolds of non factorisable six-tori. Although the number of fixed tori is reduced as compared to the factorisable case, Wilson lines are still needed for the construction of three generation…

High Energy Physics - Theory · Physics 2009-11-11 Alon E. Faraggi , Stefan Forste , Cristina Timirgaziu

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…

High Energy Physics - Theory · Physics 2020-12-30 Alon E. Faraggi , Glyn Harries , Benjamin Percival , John Rizos

Free fermionic construction of four dimensional string vacua, are related to the Z2XZ2 orbifolds at special points in the moduli space, and yielded the most realistic three family string models to date. Using free fermionic construction…

High Energy Physics - Theory · Physics 2008-11-26 Alon E. Faraggi , Costas Kounnas , John Rizos

We construct a four dimensional chiral N=1 space-time supersymmetric Type I vacuum corresponding to a compactification on a toroidal Z_2 X Z_2 X Z_3 orbifold. Using recent results in four dimensional orientifolds, we argue that this model…

High Energy Physics - Theory · Physics 2009-10-31 Zurab Kakushadze

We propose a mechanism to obtain the generation of matter in the standard model. We start from the analysis of the $T^2/Z_N$ shifted orbifold with magnetic flux, which imposes a $Z_N$ symmetry on torus. We also consider several orbifolds…

High Energy Physics - Theory · Physics 2013-04-17 Yukihiro Fujimoto , Tatsuo Kobayashi , Takashi Miura , Kenji Nishiwaki , Makoto Sakamoto

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

We study constructions and classifications of three-generation models based on magnetized $T^4$ and $T^4/{Z}_2$ orbifold as candidates of the compact space. We focus on chiral fermion zero-mode wave functions in the extra dimensions.…

High Energy Physics - Theory · Physics 2022-09-14 Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Hikaru Uchida

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…

High Energy Physics - Theory · Physics 2009-08-24 E. Manno

Using free world-sheet fermions, we construct and classify all the N=2, Z2 X Z2 four-dimensional orbifolds of the type IIA/B strings for which the orbifold projections act symmetrically on the left and right movers. We study the…

High Energy Physics - Theory · Physics 2009-10-31 A. Gregori , C. Kounnas , J. Rizos

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…

High Energy Physics - Theory · Physics 2016-04-15 P. Athanasopoulos , A. E. Faraggi , S. Groot Nibbelink , V. M. Mehta

I outline a program to derive the Standard Model directly from superstring theory. I present a class of three generation superstring standard--like models in the free fermionic formulation. I discuss some phenomenological properties of…

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

I discuss the correspondence between realistic four dimensional free fermionic models and $Z_2\times Z_2$ orbifold compactification. %I illustrate this correspondence for one particular example. I discuss the properties of the $Z_2\times…

High Energy Physics - Phenomenology · Physics 2010-11-01 Alon E. Faraggi

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

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

We discuss how the Standard Model particles appear from the type IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. In particular, we are concerned with a constructive definition of the theory,…

High Energy Physics - Theory · Physics 2015-06-18 Hajime Aoki , Jun Nishimura , Asato Tsuchiya

We propose new backgrounds of extra dimensions to lead to four-dimensional chiral models with three generations of matter fermions, that is $T^2/Z_N$ twisted orbifolds with magnetic fluxes. We consider gauge theory on six-dimensional…

High Energy Physics - Theory · Physics 2014-01-27 Tomo-hiro Abe , Yukihiro Fujimoto , Tatsuo Kobayashi , Takashi Miura , Kenji Nishiwaki , Makoto Sakamoto
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