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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…

High Energy Physics - Theory · Physics 2022-08-12 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

The heterotic string free fermionic formulation produced a large class of three generation models, with an underlying SO(10) GUT symmetry which is broken directly at the string level by Wilson lines. A common subset of boundary condition…

High Energy Physics - Theory · Physics 2014-11-18 Alon E. Faraggi

The three generation superstring models in the free fermionic models have had remarkable success in describing the real--world. The most explored models use the NAHE set to obtain three generations and to separate the hidden and observable…

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

We review a class of matrix models whose degrees of freedom are matrices with anticommuting elements. We discuss the properties of the adjoint fermion one-, two- and gauge invariant D-dimensional matrix models at large-N and compare them…

High Energy Physics - Theory · Physics 2009-10-30 Gordon W. Semenoff , Richard J. Szabo

We construct a Landau-Ginzburg model with the same data and symmetries as a $Z_2\times Z_2$ orbifold that corresponds to a class of realistic free-fermion models. Within the class of interest, we show that this orbifolding connects between…

High Energy Physics - Theory · Physics 2008-11-26 Per Berglund , John Ellis , Alon E. Faraggi , D. V. Nanopoulos , Zongan Qiu

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

Spinor-vector dualities have been established in various exact string realisations like orbifold and free fermionic constructions. This paper aims to investigate possibility of having spinor-vector dualities on smooth geometries in the…

High Energy Physics - Theory · Physics 2021-07-14 A. E. Faraggi , S. Groot Nibbelink , M. Hurtado-Heredia

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

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

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…

High Energy Physics - Theory · Physics 2010-02-03 Kang-Sin Choi , Stefan Groot Nibbelink , Michele Trapletti

We present a variation of the NAHE-basis for free fermionic heterotic string models. By rotating some of the boundary conditions of the NAHE periodic/anti-periodic fermions {y^m, \bar{y}^m, w^m, \bar{w}^m,}, for m = 1 to 6, associated with…

High Energy Physics - Phenomenology · Physics 2011-07-13 Jared Greenwald , Douglas Moore , Kristen Pechan , Tim Renner , Tibra Ali , Gerald Cleaver

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

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

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 summarize the results obtained in the last few years about permutation orbifolds in two-dimensional conformal field theories, their application to string theory and their use in the construction of four-dimensional heterotic string…

High Energy Physics - Theory · Physics 2011-11-07 M. Maio

In this paper, we explore a new type of global symmetries$-$the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field…

High Energy Physics - Theory · Physics 2023-10-10 Yi-Nan Wang , Yi Zhang

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

The spinor-vector duality was discovered in free fermionic constructions of the heterotic-string in four dimensions. It played a key role in the construction of heterotic-string models with an anomaly free extra $Z^\prime$ symmetry that may…

High Energy Physics - Theory · Physics 2017-08-16 Panos Athanasopoulos , Alon E. Faraggi

We consider an alternative derivation of the GSO Projection in the free fermionic construction of the weakly coupled heterotic string in terms of root systems, as well as the interpretation of the GSO Projection in this picture. We then…

High Energy Physics - Theory · Physics 2009-12-15 M. Robinson , G. Cleaver , M. Hunziker

We review efforts in string model building, focusing on the heterotic orbifold compactifications. We survey how one can, starting from an explicit string theory, obtain models which resemble Nature. These models exhibit the standard model…

High Energy Physics - Theory · Physics 2024-01-09 Saul Ramos-Sanchez , Michael Ratz