Classification of the Chiral Z_2 x Z_2 Heterotic String Models
arXiv:hep-th/0603035
Abstract
This thesis provides a classification of the chiral content of the heterotic $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models. We show that the chiral content of the heterotic $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models at any point in the moduli space can be described by a free fermionic model. We present a direct translation between the orbifold formulation and the free fermionic construction. We use the free fermionic description for the classification wherein we consider orbifolds with symmetric shifts. We show that perturbative three generation models are not obtained in the case of $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifolds with symmetric shifts on complex tori, and that the perturbative three generation models in this class necessarily employ an asymmetric shift. We show that the freedom in the modular invariant phases in the vacua that control the chiral content, can be interpreted as vacuum expectation values of background fields of the underlying theory, whose dynamical components are projected out by the $\mathbbm{Z}_2$ fermionic projections. In this class of vacua the chiral content of the models is determined by the underlying mother theory.
arXiv commentD.Phil. Thesis submitted at the University of Oxford, 134 pages, 4 figures
References in corpus (14)
- Evidence for oscillation of atmospheric neutrinos
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Open Strings
- Applied Conformal Field Theory
- Construction of Realistic Standard--like Models in the Free Fermionic Superstring Formulation
- Perturbative Quantum Gravity and its Relation to Gauge Theory
- Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
- String derived MSSM and M-theory Unification
- Universality properties of N=2 and N=1 Heterotic threshold corrections
- Left-Right Symmetric Heterotic-String Derived Models
- A Minimal Superstring Standard Model II: A Phenomenological Study
- Flat Directions in Left-Right Symmetric String Derived Models
- Lectures on Superstring Phenomenology
- Supersymmetry: From the Fermi Scale to the Planck Scale