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We consider the methods by which higher-level and non-simply laced gauge symmetries can be realized in free-field heterotic string theory. We show that all such realizations have a common underlying feature, namely a dimensional truncation…

High Energy Physics - Theory · Physics 2009-10-30 Keith R. Dienes , John March-Russell

We extend the unitary groups beyond the ${\rm SU}(5)$ and ${\rm SU}(6)$ to look for possible grand unified theories that give rise to three-generational Standard Model fermions without the simple repetition. By demanding asymptotic free…

High Energy Physics - Phenomenology · Physics 2022-02-03 Ning Chen

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 construct a supersymmetric standard model in the context of the Z_{12-I} orbifold compactification of the E_8 x E_8' heterotic string theory. The gauge group is SU(3)_c x SU(2)_L x U(1)_Y x U(1)^4 x [SO(10) x U(1)^3]' with sin^2\theta_W…

High Energy Physics - Theory · Physics 2007-11-01 Jihn E. Kim , Ji-Hun Kim , Bumseok Kyae

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

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

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

We present a class of solvable SO(D) symmetric matrix models with D bosonic matrices coupled to chiral fermions. The SO(D) symmetry is spontaneously broken due to the phase of the fermion integral. This demonstrates the conjectured…

High Energy Physics - Theory · Physics 2009-11-07 Jun Nishimura

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 provide a unified description of fermion masses and mixing angles in the framework of a supersymmetric grand unified SO(10) model with anarchic Yukawa couplings of order unity. The space-time is five dimensional and the extra flat…

High Energy Physics - Phenomenology · Physics 2015-07-03 Ferruccio Feruglio , Ketan M. Patel , Denise Vicino

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

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

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 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

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

We construct three flipped SU(5) X U(1)_X models from F-theory, and consider two such models from free fermionic string model building. To achieve the decoupling scenario in F-theory models and the string-scale gauge coupling unification in…

High Energy Physics - Theory · Physics 2015-05-13 Jing Jiang , Tianjun Li , Dimitri V. Nanopoulos , Dan Xie

Three family SU(3)_C x SU(2)_L x U(1)_Y string models in several constructions generically possess two features: (i) an extra local anomalous U(1)_A and (ii) numerous (often fractionally charged) exotic particles beyond those in the minimal…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. B. Cleaver , A. E. Faraggi , D. V. Nanopoulos

The assumption that space-time is a noncommutative space formed as a product of a continuous four dimensional manifold times a finite space predicts, almost uniquely, the Standard Model with all its fermions, gauge fields, Higgs field and…

High Energy Physics - Theory · Physics 2014-09-26 Ali H. Chamseddine , Alain Connes , Walter D. van Suijlekom

We derive the conditions for the one-loop contribution to the cosmological constant to be exponentially suppressed in a class of heterotic string compactifications with three generations of chiral matter, where supersymmetry is…

High Energy Physics - Theory · Physics 2022-07-20 Ioannis Florakis , John Rizos , Konstantinos Violaris-Gountonis

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