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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

The three generation heterotic-string models in the free fermionic formulation are among the most realistic string vacua constructed to date, which motivated their detailed investigation. The classification of free fermion heterotic string…

High Energy Physics - Theory · Physics 2010-07-13 C. Angelantonj , A. E. Faraggi , M. Tsulaia

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

Recently it was proposed that ten-dimensional tachyonic string vacua may serve as starting points for the construction of viable four dimensional phenomenological string models which are tachyon free. This is achieved by projecting out the…

High Energy Physics - Theory · Physics 2020-11-12 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

Classification of Left-Right Symmetric (LRS) heterotic-string vacua in the free fermionic formulation, using random generation of generalised GSO (GGSO) projection coefficients, produced phenomenologically viable models with probability…

High Energy Physics - Theory · Physics 2020-03-16 Alon E. Faraggi , Glyn Harries , Benjamin Percival , John Rizos

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 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

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

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

Classification of the N=1 space-time supersymmetric fermionic Z2XZ2 heterotic-string vacua with symmetric internal shifts, revealed a novel spinor-vector duality symmetry over the entire space of vacua, where the S_t <-> V duality…

High Energy Physics - Theory · Physics 2008-11-26 Alon E. Faraggi , Costas Kounnas , John Rizos

This talk adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification to four dimensions with N = 1 supersymmetry is achieved on a torus fibered Calabi-Yau 3-fold Z = X /…

High Energy Physics - Theory · Physics 2007-05-23 Richard S. Garavuso

In the framework of the four dimensional heterotic superstring with free fermions we present a revised version of the rank eight Grand Unified String Theories (GUST) which contain the $SU(3)_H$-gauge family symmetry. We also develop some…

High Energy Physics - Phenomenology · Physics 2019-08-15 A. A. Maslikov , I. A. Naumov , G. G. Volkov

We investigate the cosmological constraints on exotic stable matter states which arise in realistic free fermionic superstring models. These states appear in the superstring models due to a ``Wilson--line'' breaking of the unifying…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sanghyeon Chang , Claudio Coriano , Alon E. Faraggi

An overview of old and new results in studies of the quasi-realistic free fermionic models is presented, which include the recent discovery of exophobic string vacua and reproduction of the Higgs-matter splitting mechanism in a…

High Energy Physics - Theory · Physics 2015-05-18 Alon E. Faraggi

A formalism for determining the massless spectrum of a class of realistic heterotic string vacua is presented. These vacua, which consist of SU(5) holomorphic bundles on torus-fibered Calabi-Yau threefolds with fundamental group Z_2, lead…

High Energy Physics - Theory · Physics 2009-11-10 Ron Donagi , Yang-Hui He , Burt A. Ovrut , Rene Reinbacher

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

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 SO(10) embedding of the Standard Model spectrum is supported by evidence for neutrino masses. This thesis adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification…

High Energy Physics - Theory · Physics 2017-08-23 Richard S. Garavuso

We consider an extension of the standard electroweak theory with gauge group $SU(2)_L \times SU(2)_R \times U(1)_{\tilde{Y}}$, where the gauge bosons of the extra $SU(2)_R$ factor do not couple to ordinary fermions. We show that precision…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Donini , F. Feruglio , J. Matias , F. Zwirner

A glossary overview of the phenomenological studies of quasi-realistic free fermionic heterotic string models is presented. I elaborate on the correspondence of these models with Z2XZ2 orbifolds.

High Energy Physics - Theory · Physics 2008-09-17 Alon E. Faraggi