Chiral four-dimensional heterotic string vacua from covariant lattices /

Saved in:

Bibliographic Details
Author / Creator:	Beye, Florian, author.
Imprint:	Singapore : Springer, [2016] ©2017
Description:	1 online resource : illustrations
Language:	English
Series:	Springer theses Springer theses.
Subject:	Lattice theory. Particles (Nuclear physics) -- Chirality. Lattice theory. Particles (Nuclear physics) -- Chirality.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11269047

Hidden Bibliographic Details
ISBN:	9789811008047 9811008043 9789811008023 9811008027
Notes:	"Doctoral thesis accepted by Nagoya University, Nagoya, Japan." Includes bibliographical references. Online resource; title from PDF title page (SpringerLink, viewed November 29, 2016).
Summary:	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.
Other form:	Print version: Beye, Florian. Chiral four-dimensional heterotic string vacua from covariant lattices. Singapore : Springer, [2016] 9811008027 9789811008023

Table of Contents:

Supervisor's Foreword; Parts of this thesis have been published in the following journal article:; Acknowledgments; Contents; 1 Introduction; 1.1 The Covariant Lattice Formalism; 1.1.1 Four-Dimensional Heterotic Strings; 1.1.2 Covariant Lattices; 1.1.3 Bosonic Realizations of Supersymmetry; 1.1.4 Massless Spectra and Symmetries; 1.1.5 Covariant Lattices for Chiral Models; 1.2 Asymmetric Orbifolds; 1.2.1 The Asymmetric Orbifold Construction; 1.2.2 Twists for Chiral Models; References; 2 Classification of Chiral Models; 2.1 The Supercurrent Lattices; 2.1.1 Construction of Candidate Lattices.
2.1.2 Solutions to the Supercurrent Equations2.2 Right-Mover and Left-Mover Lattices; 2.2.1 Discriminant Forms and Lattice Genera; 2.2.2 The Lattice Inclusion Graph; 2.2.3 Relationship with Asymmetric Orbifolds; 2.2.4 Classification of Top Node Genera; 2.2.5 The Subgenus Method; References; 3 Model Building; 3.1 A Class of Asymmetric Z3 Orbifolds; 3.1.1 Massless Right-Mover Spectrum and Supercurrent; 3.1.2 Discrete Symmetries and the Superpotential; 3.1.3 Search for Three-Generation Models; 3.2 A Class of Asymmetric Z6 Orbifolds; 3.2.1 Massless Right-Mover Spectrum.
3.2.2 A Three-Generation ModelReferences; 4 Summary; References; Appendix A Lattices; A.1 Basic Definitions; A.2 Lattice Gluing; A.3 The Lorentzian Lattices Dn, m; Appendix B Supplementary Material; Curriculum Vitae.

Similar Items