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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 consider the heterotic E8 X E8 string theory, which gives rise to four-dimensional Standard-like Models and allows for their SO(10) embedding. We investigate two different schemes of compactification: the free fermionic formulation and…

High Energy Physics - Theory · Physics 2009-08-24 E. Manno

Free fermionic models and symmetric heterotic toroidal orbifolds both constitute exact backgrounds that can be used effectively for phenomenological explorations within string theory. Even though it is widely believed that for Z2xZ2…

High Energy Physics - Theory · Physics 2016-04-15 P. Athanasopoulos , A. E. Faraggi , S. Groot Nibbelink , V. M. Mehta

We study modular symmetries in non-supersymmetric heterotic string theories on toroidal backgrounds with Wilson line modulus, constructed by stringy Scherk-Schwartz compactification. In particular, we focus on a subgroup of the T-duality…

High Energy Physics - Theory · Physics 2025-04-03 Shuta Funakoshi , Yuichi Koga , Hajime Otsuka

This chapter is an introduction to the Free Fermionic Formulation of String Theory, with emphasis on heterotic model building. After a brief review of bosonization in two dimensional conformal field theories, we discuss how internal bosonic…

High Energy Physics - Theory · Physics 2025-10-27 Ioannis Florakis , John Rizos

This thesis is the discussion of heterotic and type I string phenomenology. The heterotic string model is based on the free--fermionic formalism. This is the first case where non--Abelian VEV's, as opposed to singlet VEV's are required for…

High Energy Physics - Theory · Physics 2007-05-23 D. J. Clements

Using free world-sheet fermions, we construct and classify all the N=2, Z2 X Z2 four-dimensional orbifolds of the type IIA/B strings for which the orbifold projections act symmetrically on the left and right movers. We study the…

High Energy Physics - Theory · Physics 2009-10-31 A. Gregori , C. Kounnas , J. Rizos

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 construct heterotic string theories on spacetimes of the form R^{d-1,1} times N=2 linear dilaton, where d=6,4,2,0. There are two lines of supersymmetric theories descending from the two supersymmetric ten-dimensional heterotic theories.…

High Energy Physics - Theory · Physics 2009-11-11 Sameer Murthy

We study orbifolds by permutations of two identical N=2 minimal models within the Gepner construction of four dimensional heterotic strings. This is done using the new N=2 supersymmetric permutation orbifold building blocks we have recently…

High Energy Physics - Theory · Physics 2011-08-03 M. Maio , A. N. Schellekens

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

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

A review of orbifold geometry is given, followed by a review of the construction of four-dimensional heterotic string models by compactification on a six-dimensional Z_3 orbifold. Particular attention is given to the details of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joel Giedt

A new two dimensional $\mathcal{N}=(0,2)$ Supersymmetric Non-Linear Sigma Model describes the dynamics of internal moduli of the BPS semi-local vortex string supported in four dimensional $\mathcal{N}=2$ SQED. While the core of these…

High Energy Physics - Theory · Physics 2019-05-01 Edwin Ireson , Mikhail Shifman , Alexei Yung

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

We consider toroidal asymmetric orbifolds of the heterotic string preserving all 16 supercharges, developing a general formalism to study components of the moduli space characterized by rank reduction of the gauge group. In particular we…

High Energy Physics - Theory · Physics 2025-05-01 Gerardo Aldazabal , Eduardo Andrés , Anamaría Font , Kumar Narain , Ida G. Zadeh

A family of modified $(0,1)$ heterotic string models in D=4 is constructed in which the strings incorporate $R$ flux tubes which may in special cases support a local spacetime superconformal symmetry consistent with quantum mechanics. There…

High Energy Physics - Theory · Physics 2007-05-23 Michael Hewitt

A Lagrangian definition of a large family of (0,2) supersymmetric conformal field theories may be made by an appropriate gauge invariant combination of a gauged Wess-Zumino-Witten model, right-moving supersymmetry fermions, and left-moving…

High Energy Physics - Theory · Physics 2009-10-07 Per Berglund , Clifford V. Johnson , Shamit Kachru , Philippe Zaugg

We study fourfold rotation invariant gapped topological systems with time-reversal symmetry in two and three dimensions ($d=2,3$). We show that in both cases nontrivial topology is manifested by the presence of the $(d-2)$-dimensional edge…

Mesoscale and Nanoscale Physics · Physics 2017-12-19 Zhida Song , Zhong Fang , Chen Fang

A systematic study of "lifted" Gepner models is presented. Lifted Gepner models are obtained from standard Gepner models by replacing one of the N=2 building blocks and the $E_8$ factor by a modular isomorphic $N=0$ model on the bosonic…

High Energy Physics - Theory · Physics 2015-05-19 B. Gato-Rivera , A. N. Schellekens
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