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We systematically develop the explicit map between string vacua constructed in the Free Fermionic Formulation and their $\mathbb{Z}_2^N$ toroidal orbifold counterparts. We illustrate the map in various example classes of models, including…

High Energy Physics - Theory · Physics 2023-10-17 Ioannis Florakis , John Rizos

This work develops the correspondence between orbifolds and free fermion models. A complete classification is obtained for orbifolds X/G with X the product of three elliptic curves and G an abelian extension of a group (Z_2)^2 of twists…

High Energy Physics - Theory · Physics 2014-11-18 Ron Donagi , Katrin Wendland

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

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…

High Energy Physics - Theory · Physics 2014-11-18 Gerald B. Cleaver

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

We examine the problem of generation mixing in realistic superstring derived standard--like models, constructed in the free fermionic formulation. We study the possible sources of family mixing in these models . In a specific model we…

High Energy Physics - Phenomenology · Physics 2009-10-22 Alon E. Faraggi , Edi Halyo

The only string models known to reproduce the Minimal Supersymmetric Standard Model in the low energy effective field theory are those constructed in the free fermionic formulation. We demonstrate the existence of quasi-realistic free…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gerald B. Cleaver , David J. Clements , Alon E. Faraggi

In quasi-realistic string models that contain an anomalous U(1) the non-zero Fayet-Iliopoulos term triggers the shifting of the original vacuum to a new one along some flat direction, so that SUSY is preserved but the gauge group is…

High Energy Physics - Theory · Physics 2009-09-17 Gerald Cleaver , Mirjam Cvetic , Jose R. Espinosa , Lisa Everett , Paul Langacker

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

The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries. We investigate some…

High Energy Physics - Theory · Physics 2008-11-26 Sumit R. Das , Luiz H. Santos

Redefining the vacuum state of a free two-fold $N=1$ covariant supersymmetric string action as the one with all the excited states of world-sheet fermions occupied, makes the theory anomaly free in (3+1)+4 dimensions. While in the $NS$…

High Energy Physics - Theory · Physics 2022-03-23 J. S. Bhattacharyya

I argue that the ten dimensional non--supersymmetric tachyonic superstrings may serve as good starting points for the construction of viable phenomenological vacua. Thus, enlarging the space of possible solutions that may address some of…

High Energy Physics - Theory · Physics 2019-12-17 Alon E. Faraggi

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 explore the use of real fermionization as a test case for understanding how specific features of phenomenological interest in the low-energy effective superpotential are realized in exact solutions to heterotic superstring theory. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Chaudhuri , S. -wei Chung , G. Hockney , J. Lykken

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

A four dimensional Superstring is constructed starting from a twenty six dimensional bosonic string. Fermions are introduced by noting the Manselstam's proof of equivalence of two fermions to one boson in 1+1 dimensions. The action of the…

High Energy Physics - Theory · Physics 2009-11-11 B. B. Deo

We examine the problem of supersymmetry breaking in realistic superstring standard--like models which are constructed in the free fermionic formulation. We impose a supersymmetric vacuum at the Planck scale by requiring vanishing F and D…

High Energy Physics - Phenomenology · Physics 2011-07-19 Alon E. Faraggi , Edi Halyo

This paper summarizes several developments in string-derived (Minimal Supersymmetric) Standard Models. Part one reviews the first string model containing solely the three generations of the Minimal Supersymmetric Standard Model and a single…

High Energy Physics - Phenomenology · Physics 2007-10-28 Gerald B. Cleaver

We use the free fermionic formulation of the heterotic-string in four dimensions to study the vacuum structure and energy of non-supersymmetric tachyon free models that correspond to compactifications of tachyonic vacua of the ten…

High Energy Physics - Theory · Physics 2024-08-08 Luke A. Detraux , Alonzo R. Diaz Avalos , Alon E. Faraggi , Benjamin Percival

We explore the possibility of embedding supersymmetric GUT texture ideas into superstring models. We discuss the construction of GUT models using free fermionic strings. We find SO(10) models with adjoint scalars, three generations of…

High Energy Physics - Phenomenology · Physics 2008-02-03 Shyamoli Chaudhuri , Stephen-wei Chung , Joseph D. Lykken