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We study a few two-dimensional models with massive and massless fermions in the hamiltonian framework and in both conventional and light-front forms of field theory. The new ingredient is a modification of the canonical procedure by taking…

High Energy Physics - Theory · Physics 2011-11-30 Lubomir Martinovic

We generalize the rules for the free fermionic string construction to include other asymmetric orbifolds with world-sheet bosons. We use these rules to construct various grand unified string models that involve level-3 current algebras. We…

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

The free fermionic classification method provides a powerful tool to investigate string vacua, which led to the discovery of spinor--vector duality and exophobic string models. We extend the classification methodology to both…

High Energy Physics - Theory · Physics 2022-08-12 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

We extend the classification of fermionic $\mathbb{Z}_2\times\mathbb{Z}_2$ heterotic string orbifolds to non--supersymmetric Pati--Salam (PS) models in two classes of vacua, that we dub $\tilde S$--models and $S$--models. The first…

High Energy Physics - Theory · Physics 2021-08-11 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

We review a class of matrix models whose degrees of freedom are matrices with anticommuting elements. We discuss the properties of the adjoint fermion one-, two- and gauge invariant D-dimensional matrix models at large-N and compare them…

High Energy Physics - Theory · Physics 2009-10-30 Gordon W. Semenoff , Richard J. Szabo

An algorithm to systematically and efficiently generate free fermionic heterotic string models was recently introduced. This algorithm has been adopted by the Free Fermionic Model Construction (FFMC) program at Baylor University. As its…

High Energy Physics - Phenomenology · Physics 2010-04-21 Richard K. Obousy , Matthew B. Robinson , Gerald B. Cleaver

The transition from a false vacuum to the true vacuum is a real-time phenomenon of interest in many contexts. It represents a special challenge for strongly interacting non-Abelian gauge theories because standard spacetime lattices…

High Energy Physics - Lattice · Physics 2025-07-02 Ali H. Z. Kavaki , Randy Lewis

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

In this talk we argue that a certain class of heterotic orbifolds can be the underlying fundamental theory for recently studied field theory GUTs. In addition we demonstrate that symmetric heterotic Z2 times Z2 orbifolds can give rise to…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Forste , Akin Wingerter

We consider "super no-scale models" in the framework of the heterotic string, where the N=4,2,1 --> 0 spontaneous breaking of supersymmetry is induced by geometrical fluxes realizing a stringy Scherk-Schwarz perturbative mechanism.…

High Energy Physics - Theory · Physics 2016-12-21 Costas Kounnas , Herve Partouche

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

Starting from the Nambu-Goto bosonic string, a four dimensional superstring model is constructed using the equivalence of one boson to two Majorana-Weyl fermions. The conditions of anomaly cancellation in a 'heterotic' string theory lead to…

High Energy Physics - Theory · Physics 2011-02-02 B. B. Deo , P. K. Jena

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The later are represented by eleven vectors in the bosonic representation $SO(D-1,1)$. The central charge is 26. The fermions are grouped in…

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

Fractional superstrings are recently-proposed generalizations of the traditional superstrings and heterotic strings. They have critical spacetime dimensions which are less than ten, and in this paper we investigate model-building for the…

High Energy Physics - Theory · Physics 2009-10-22 Keith R. Dienes , S. -H. Henry Tye

In this article we are concerned with finite dimensional Fermions, by which we mean vectors in a finite dimensional complex space embedded in the exterior algebra over itself. These Fermions are spinless but possess the characterizing…

Mathematical Physics · Physics 2022-04-06 Luigi M. Borasi

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

Recently, by studying exact flat directions of non-Abelian singlet fields, we demonstrated the existence of free fermionic heterotic-string models in which the SU(3)_C x SU(2)_L x U(1)_Y-charged matter spectrum, just below the string scale,…

High Energy Physics - Phenomenology · Physics 2016-09-06 G. B. Cleaver , A. E. Faraggi , D. V. Nanopoulos , Joel W. Walker

An extended free fermionic construction of the internal N=1 world sheet supercurrent for four-dimensional superstring theory is given. We show how it can describe theories with massless fermions, and we discuss the corresponding N=2…

High Energy Physics - Theory · Physics 2015-06-26 David M. Pierce

We consider quantum spin chains with a hidden free fermionic structure, distinct from the Jordan-Wigner transformation and its generalizations. We express selected local operators with the hidden fermions. This way we can exactly solve the…

Statistical Mechanics · Physics 2025-04-14 István Vona , Márton Mestyán , Balázs Pozsgay

I review the main properties of four-dimensional strings constructed with free-fermions on the world-sheet. In particular I discuss possible model independent low energy predictions related to the existence of states with fractional…

High Energy Physics - Theory · Physics 2007-05-23 I. Antoniadis
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