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Some of the supersymmetric nonlinear sigma models on exceptional groups (E7 or E8) are known to yield almost minimal necessary content of matter fields for phenomenological model building, including three chiral families and a Higgs…

High Energy Physics - Theory · Physics 2016-06-21 Shun'ya Mizoguchi , Masaya Yata

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

There is good support for the embedding of the Standard Model fermions in the chiral 16 representation of SO(10). Such an embedding is provided by the realistic free fermionic heterotic-string models. In this talk we demonstrate the…

High Energy Physics - Theory · Physics 2017-08-23 A. E. Faraggi , R. Garavuso , J. M. Isidro

Requiring that supersymmetric SU(5) and SU(6) grand unifications in the heterotic string theory must have 3 chiral families, adjoint (or higher representation) Higgs fields in the grand unifiedgauge group, and a non-abelian hidden sector,…

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

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The central charge is 26. The fermions are grouped in such a way that the resulting action is supersymmetric. The energy momentum and current…

High Energy Physics - Theory · Physics 2007-05-23 B. B. Deo

One of the interesting features in unification models and supersymmetric unification models is that the chiral states of quarks and leptons in a family including a right-handed neutrino can be fitted neatly into a fundamental spinor…

High Energy Physics - Phenomenology · Physics 2008-02-03 Huazhong Zhang

We discuss a supersymmetric grand unified model which has gauge group SU(5) $\times$ SU(5) $\times$ SU(5), with matter fields transforming asymmetrically under different gauge SU(5) groups. We observe that the gauge structure of the model…

High Energy Physics - Phenomenology · Physics 2016-08-25 Chih-Lung Chou

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

We continue the investigation of the physics implications of a class of flat directions for a prototype quasi-realistic free fermionic string model (CHL5), building upon the results of the previous paper in which the complete mass spectrum…

High Energy Physics - Phenomenology · Physics 2009-09-17 G. Cleaver , M. Cvetic , J. R. Espinosa , L. Everett , P. Langacker , J. Wang

In this paper, following a stream of investigation on supersymmetric gauge theories with cosmic string solutions, we contemplate the possibility of building up a D-and-F term cosmic string by means of a gauge-field mixing in connection with…

High Energy Physics - Theory · Physics 2009-11-07 C. N. Ferreira , C. F. L. Godinho , J. A. Helayel-Neto

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

Supergravity theories in more than four dimensions with grand unified gauge symmetries are an important intermediate step towards the ultraviolet completion of the Standard Model in string theory. Using toric geometry, we classify and…

High Energy Physics - Theory · Physics 2018-07-17 Wilfried Buchmuller , Markus Dierigl , Paul-Konstantin Oehlmann , Fabian Ruehle

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

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

In the context of supersymmetric $SO(10)$ grand unified models, it is shown that the gauge symmetry breaking as well as a natural doublet--triplet splitting can be achieved with a minimal Higgs system consisting of a single adjoint and a…

High Energy Physics - Phenomenology · Physics 2011-05-12 K. S. Babu , S. M. Barr

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

We explore the possible low energy phases of the confining non-supersymmetric $SU(5)$ chiral gauge theory with three generations of fermions in the $(10+\bar{5})$ representations. This theory has the same fermion and gauge matter content as…

High Energy Physics - Theory · Physics 2022-04-13 Yang Bai , Daniel Stolarski

The observation of a scalar resonance at the LHC, compatible with perturbative electroweak symmetry breaking, reinforces the Standard Model parameterisation of all subatomic data. The logarithmic evolution of the SM gauge and matter…

High Energy Physics - Theory · Physics 2014-04-22 Alon E. Faraggi

I review how traditional grand unified theories, which require adjoint (or higher representation) Higgs fields for breaking to the standard model, can be contained within string theory. The status (as of January 1996) of the search for…

High Energy Physics - Theory · Physics 2008-02-03 Gerald B. Cleaver

We construct the SU(5) and SO(10) models from F-theory. Turning on the U(1) fluxes, we can break the SU(5) gauge symmetry down to the Standard Model (SM) gauge symmetry, and break the SO(10) gauge symmetry down to the SU(3)_C X SU(2)_L X…

High Energy Physics - Theory · Physics 2010-04-29 Tianjun Li