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The evidence for neutrino masses in atmospheric and solar neutrino experiments provides further support for the embedding of the Standard Model fermions in the chiral 16 SO(10) representation. Such an embedding is afforded by the realistic…

High Energy Physics - Theory · Physics 2011-07-19 Alon E. Faraggi , Richard Garavuso , Jose M. Isidro

The SO(10) embedding of the Standard Model spectrum is supported by evidence for neutrino masses. This thesis adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification…

High Energy Physics - Theory · Physics 2017-08-23 Richard S. Garavuso

We demonstrate the existence of a class of N=1 supersymmetric nonperturbative vacua of Horava-Witten M-theory compactified on a torus fibered Calabi-Yau 3-fold Z with first homotopy group \pi_{1}(Z)= Z2, having the following properties: 1)…

High Energy Physics - Theory · Physics 2010-04-05 Alon E. Faraggi , Richard S. Garavuso

This talk adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification to four dimensions with N = 1 supersymmetry is achieved on a torus fibered Calabi-Yau 3-fold Z = X /…

High Energy Physics - Theory · Physics 2007-05-23 Richard S. Garavuso

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 propose a realistic flipped SU(5) model derived from a five-dimensional orbifold SO(10) model. The Standard Model (SM) fermion masses and mixings are explained by combining the traditional Froggatt-Nielsen mechanism with the…

High Energy Physics - Phenomenology · Physics 2010-03-02 Csaba Balazs , Zhaofeng Kang , Tianjun Li , Fei Wang , Jin Min Yang

We construct a class of stable SU(5) bundles on an elliptically fibered Calabi-Yau threefold with two sections, a variant of the ordinary Weierstrass fibration, which admits a free involution. The bundles are invariant under the involution,…

High Energy Physics - Theory · Physics 2015-06-03 Bjorn Andreas , Norbert Hoffmann

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

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

We extend the free fermionic classification methodology to the class of standard-like heterotic-string vacua, in which the $SO(10)$ GUT symmetry is broken at the string level to $SU(3)\times SU(2)\times U(1)^2$. The space of GGSO free phase…

High Energy Physics - Theory · Physics 2018-07-24 Alon E. Faraggi , John Rizos , Hasan Sonmez

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

In this paper, $E_6$ and especially $E_7$ GUT are considered in the F-theory setting in view of the free fermionic construction of the $4D$ heterotic string. In particular, the NAHE-Based LRS model of \cite{Cleaver:2000ds, Cleaver:2002ps}…

General Physics · Physics 2016-09-22 Johar M. Ashfaque

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

The Standard Model data suggests the realization of grand unification structures in nature, in particular that of SO(10). A class of string vacua that preserve the SO(10) embedding, are the three generation free fermion heterotic-string…

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

Based on the Z_{12-I} orbifold compactification of the heterotic string theory, we construct a flipped-SU(5) model with three families of the standard model matter and ingredients for dynamical supersymmetry breaking. The doublet-triplet…

High Energy Physics - Phenomenology · Physics 2009-12-31 Ji-Haeng Huh , Jihn E. Kim , Bumseok Kyae

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

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…

High Energy Physics - Theory · Physics 2010-07-13 C. Angelantonj , A. E. Faraggi , M. Tsulaia

In the context of the free-fermionic formulation of the heterotic superstring, we construct a three generation N=1 supersymmetric SU(4)xSU(2)LxSU(2)R model supplemented by an SU(8) hidden gauge symmetry and five Abelian factors. The…

High Energy Physics - Theory · Physics 2008-11-26 G. K. Leontaris , J. Rizos

We study a direct flux breaking scenario in $SO(32)$ heterotic string theory on general Calabi-Yau threefolds. The direct flux breaking, corresponding to hypercharge flux breaking in the F-theory context, allows us to derive the Standard…

High Energy Physics - Theory · Physics 2018-12-05 Hajime Otsuka , Kenta Takemoto

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
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