Chiral Four-Dimensional Heterotic String Vacua from Covariant Lattices

  • Florian Beye

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Florian Beye
    Pages 1-27
  3. Florian Beye
    Pages 29-52
  4. Florian Beye
    Pages 53-76
  5. Florian Beye
    Pages 77-79
  6. Back Matter
    Pages 81-95

About this book


This book is placed at the interface between string theory and elementary particle physics and shows novel results in the search for a heterotic string vacuum that reproduces those matter particles and interactions observed in our universe. The author provides a systematic classification of potentially realistic heterotic covariant lattice vacua, which possess a lower number of moduli fields when compared to conventional compactification methods, by means of number theoretical methods. These methods, while well known to the mathematics community, have not yet found many applications to physics. They are introduced to the degree necessary to understand the computations carried out throughout this work. Furthermore, explicit covariant lattice models with particularly interesting properties are analyzed in detail. Finally, new light is shed on the relation between covariant lattice models and asymmetric orbifold compactifications, the result being a concrete correspondence between certain types of asymmetric orbifolds and those classified covariant lattices.


Lattice Gluing Orbifold Compactification String theory model building The Lorentzian Lattices genus classification of lattices heterotic string vacua orbifold string models two-dimensional conformal field theory two-dimensional super-conformal field theory

Authors and affiliations

  • Florian Beye
    • 1
  1. 1.Nagoya UniversityNagoyaJapan

Bibliographic information