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We discuss the construction of heterotic--string models that allow for the existence of an extra $Z^\prime$ at low scales. One of the main difficulties encountered is that the desired symmetries tend to be anomalous in the prevailing three…

High Energy Physics - Phenomenology · Physics 2015-10-12 Alon E. Faraggi , John Rizos

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

The immensity of the string landscape and the difficulty of identifying solutions that match the observed features of particle physics have raised serious questions about the predictive power of string theory. Modern methods of optimisation…

High Energy Physics - Theory · Physics 2022-05-18 Steven Abel , Andrei Constantin , Thomas R. Harvey , Andre Lukas

We discuss the unification of gauge coupling constants in non-supersymmetric open string vacua that possess the properties of Split Supersymmetry, namely the Standard Model with Higgsinos at low energies and where the Standard model…

High Energy Physics - Phenomenology · Physics 2016-10-13 Christos Kokorelis

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

The supersymmetric SO(10) GUT based on the ${\bf{210\oplus 10\oplus 120\oplus 126\oplus {\bar {126}}}}$ Higgs system provides a minimal framework for the emergence of the R-parity exact MSSM at low energies and a viable supersymmetric…

High Energy Physics - Phenomenology · Physics 2015-03-13 Charanjit S. Aulakh , Sumit K. Garg

We study supersymmetric unified models with three fermion generations based on the gauge group $SO(10)$ and require Gauge-Yukawa Unification, i.e., a renormalization group invariant functional relationship among the gauge and Yukawa…

High Energy Physics - Phenomenology · Physics 2011-01-27 Jisuke Kubo , Myriam Mondragon , Shigeyuki Shoda , George Zoupanos

We analyze all the possible continuous horizontal gauge groups G_H in relation with their possibility to explain m_b<<m_t. We assume that the only effective fermionic degrees of freedom correspond to the known fermions but allow the…

High Energy Physics - Phenomenology · Physics 2009-09-25 William A. Ponce , Luis A. Wills , Arnulfo Zepeda

We derive formulas for counting certain classes of vacua in the string/M theory landscape. We do so in the context of the moduli space of M-theory compactifications on singular manifolds with G_2 holonomy. Particularly, we count the numbers…

High Energy Physics - Theory · Physics 2015-06-12 Tamar Friedmann , Richard P. Stanley

Based on a few basic assumptions, a predictive supersymmetric grand unification $G_{U}=SO(10)\times \Delta_{48}(SU(3))\times U(1)$ model is proposed. Thus, all the observed 45 chiral fermions with additional 3 right-handed neutrinos are…

High Energy Physics - Phenomenology · Physics 2008-02-03 K. C. Chou , Yue-Liang Wu

The orbifold GUT doublet-triplet splitting mechanism was discussed in 1994 in the framework of the NAHE-based free fermionic models in which the SO(10) GUT symmetry is broken to SO(6) X SO(4), SU(3) X SU(2) X U(1)^2, or SU(3) X U(1) X…

High Energy Physics - Phenomenology · Physics 2015-06-25 Gerald B. Cleaver , Alon E. Faraggi , Sander Nooij

We compute the massless spectra of a set of flux vacua of the heterotic string. The vacua we study include well-known non-Kahler T^2-fibrations over K3 with SU(3) structure and intrinsic torsion. Following gauged linear sigma models of…

High Energy Physics - Theory · Physics 2012-06-29 Allan Adams , Joshua M. Lapan

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

Using Baylor University's C++ software for construction of weakly coupled free fermionic heterotic string models, called the FF Framework, we explicitly construct the level 1 Ka\v{c}-Moody ten dimensional heterotic string models with the…

High Energy Physics - Phenomenology · Physics 2015-05-28 Timothy Renner , Jared Greenwald , Douglas Moore , Gerald Cleaver

One of the goals of the landscape program in string theory is to extract information about the space of string vacua in the form of statistical correlations between phenomenological features that are otherwise uncorrelated in field theory.…

High Energy Physics - Theory · Physics 2008-11-26 Keith R. Dienes , Michael Lennek , David Sénéchal , Vaibhav Wasnik

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

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 develop techniques to classify D- and F-flat directions for N=1 supersymmetric string vacua of the perturbative heterotic string theory, which possess an anomalous U(1) gauge group at the tree level. Genus-one corrections generate a…

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

It has been conjectured that spontaneous chiral symmetry breaking in strongly coupled vectorlike gauge theories falls into only three different classes, depending on the gauge group and the representations carried by the fermions. We test…

High Energy Physics - Lattice · Physics 2009-11-07 P. H. Damgaard , U. M. Heller , R. Niclasen , B. Svetitsky

I survey the parameter space of NAHE-based free fermionic heterotic string models. First, I discuss flat directions of the low energy effective field theories and show that D-flat directions need not be isomorphic to gauge invariant…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gerald Cleaver