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.

Nominated as an outstanding contribution by Nagoya University's Physics Department in 2014 Provides a systematic investigation of heterotic covariant lattice vacua relevant for string model building Introduces the computational methods used throughout this work without too much devotion to mathematical detail Includes supplementary material: sn.pub/extras

Autorentext

Florian Beye Physics Department, Nagoya University

Inhalt

Introduction.- Classification of Chiral Models.- Model Building.- Summary.