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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 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

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

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

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

A 4-dimensional heterotic string model of free fermionic construction is presented wherein mirror symmetry breaking between observable and hidden sector gauge groups occurs in spite of mirror symmetry between observable and hidden sector…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ben Dundee , John Perkins , Gerald Cleaver

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 have simulated the SU(4) lattice gauge theory coupled to dynamical fermions in the fundamental and two-index antisymmetric (sextet) representations simultaneously. Such theories arise naturally in the context of composite Higgs models…

Quasi--realistic heterotic-string models in the free fermionic formulation typically contain an anomalous U(1), which gives rise to a Fayet-Iliopolous term that breaks supersymmetry at the one--loop level in string perturbation theory.…

High Energy Physics - Phenomenology · Physics 2015-05-28 G. Cleaver , A. E. Faraggi , J. Greenwald , D. Moore , K. Pechan , E. Remkus , T. Renner

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

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 examine the problem of constructing three generation free fermionic string models with grand unified gauge groups. We attempt the construction of $G\times G$ models, where $G$ is a grand unified group realized at level 1. This structure…

High Energy Physics - Theory · Physics 2009-10-28 D. Finnell

We explore the possibility of string theories in only four spacetime dimensions without any additional compactified dimensions. We show that, provided the theory is defined in curved spacetime that has a cosmological interpration, it is…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars

We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplets is motivated by the possibility of embedding them in an…

High Energy Physics - Theory · Physics 2016-09-06 Stephen L. Adler

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

We present a study of spectroscopy of SU(4) lattice gauge theory coupled to two flavors of Dirac fermions in the anti-symmetric two index representation. The fermion representation is real, and the pattern of chiral symmetry breaking is…

High Energy Physics - Lattice · Physics 2016-11-22 Thomas DeGrand , Yuzhi Liu , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

The strategy for assigning $Z_{4R}$ parity in the string compactification is presented. For the visible sector, an anti-SU(5) (flipped-SU(5)) grand unification (GUT) model with three families is used to reduce the number of representations…

High Energy Physics - Phenomenology · Physics 2021-07-21 Jihn E. Kim

We use lattice simulations to compute the baryon spectrum of SU(4) lattice gauge theory coupled to dynamical fermions in the fundamental and two-index antisymmetric (sextet) representations simultaneously. This model is closely related to a…

High Energy Physics - Phenomenology · Physics 2018-06-13 Venkitesh Ayyar , Thomas DeGrand , Daniel C. Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

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…

High Energy Physics - Theory · Physics 2014-03-26 Laura Bernard , Alon E Faraggi , Ivan Glasser , John Rizos , Hasan Sonmez

We present two 3-family SU(5) grand unified models in the heterotic string theory. One model has 3 chiral families and 9 pairs of $5+{\overline 5}$ Higgs fields, and an asymptotically-free SU(2) X SU(2) hidden sector, where the two SU(2)s…

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