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'Dual' is a promising key word in the particle physics at present. The string theory is dual in any sense. The observed sector and the hidden sector are dual on the 10-dim. $E_8\times E_8$ heterotic string. We find $Z_6$ orbifold models…

High Energy Physics - Phenomenology · Physics 2009-10-28 Noriyasu Ohtsubo , Masafumi Shimojo

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

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

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

Based on a simple adiabatic argument and by considering the heterotic string counterpart of certain symmetries of Type II superstrings such as $(-1)^{F_L}$ and orientation reversal, we construct orbifold candidates for dual pairs of…

High Energy Physics - Theory · Physics 2010-04-07 Cumrun Vafa , Edward Witten

We study the duality between the Spin$(32)/\mathbb{Z}_2$ heterotic string without vector structure and F-theory with frozen singularities. We give a complete description in theories with $6$d $\mathcal{N}=(1,0)$ supersymmetry and identify…

High Energy Physics - Theory · Physics 2024-04-04 Paul-Konstantin Oehlmann , Fabian Ruehle , Benjamin Sung

We construct more dual pairs of type II-heterotic strings in four dimensions with $N=2,1$ spacetime supersymmetry. On the type II side the construction utilizes the various possible choices of K3 automorphisms with fixed points which…

High Energy Physics - Theory · Physics 2015-06-26 H. B. Gao

Heterotic toroidal orbifolds are a powerful framework for testing our understanding of string vacua. We review recent advances in heterotic model building, from constructing new vacua to proving novel de Sitter no-go theorems. We also…

High Energy Physics - Theory · Physics 2025-02-03 Nicole Righi

We present an extensive search for a general class of flipped $SU(5)$ models built within the free fermionic formulation of the heterotic string. We describe a set of algorithms which constitute the basis for a computer program capable of…

High Energy Physics - Theory · Physics 2009-10-22 J. Lopez , D. Nanopoulos , K. Yuan

The heterotic--string models in the free fermionic formulation gave rise to some of the most realistic string models to date, which possess N=1 spacetime supersymmetry. Lack of evidence for supersymmetry at the LHC instigated recent…

High Energy Physics - Theory · Physics 2016-04-26 Johar M. Ashfaque , Panos Athanasopoulos , Alon E. Faraggi , Hasan Sonmez

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

Motivated by the recently proposed geometric descriptions of 0A and 0B in M-theory and F-theory, we propose a web of duality among non-supersymmetric strings. In particular we argue that the distinct $\mathbb{Z}_2$ quotients of M-theory on…

High Energy Physics - Theory · Physics 2026-04-10 Zihni Kaan Baykara , Matilda Delgado , Emilian Dudas , Hector Parra De Freitas , Cumrun Vafa

Moduli stabilisation is key to obtaining phenomenologically viable string models. Non-geometric compactifications, like T-duality orbifolds (T-folds), are capable of freezing many moduli. However, in this Letter we emphasise that T-folds,…

High Energy Physics - Theory · Physics 2024-03-25 Alon E. Faraggi , Stefan Groot Nibbelink , Benjamin Percival

The existence of an extra Z' inspired from heterotic-string theory at accessible energy scales attracted considerable interest in the particle physics literature. Surprisingly, however, the construction of heterotic--string derived models…

High Energy Physics - Theory · Physics 2015-06-30 Alon E. Faraggi , John Rizos

We construct new F-theory vacua in 8-dimensions. They are coming by projective realizations of F-theory on $K_3$ surfaces admitting double covers onto $\P^2$, branched along a plane sextic curve, the so called double sextics. The new vacua…

High Energy Physics - Theory · Physics 2007-05-23 Christos Epameinonda Kokorelis

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

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

A 4-dimensional heterotic string model of free fermionic construction is presented wherein mirror symmetry breaking between observable and hidden sector gauge groups occurs in spite of mirror symmetry between observable and hidden sector…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ben Dundee , John Perkins , Gerald Cleaver

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

Four dimensional heterotic SO(32) orbifold models are classified systematically with model building applications in mind. We obtain all Z3, Z7 and Z2N models based on vectorial gauge shifts. The resulting gauge groups are reminiscent of…

High Energy Physics - Theory · Physics 2010-02-03 Kang-Sin Choi , Stefan Groot Nibbelink , Michele Trapletti