The construction of "realistic" four-dimensional strings through orbifolds

A. Font, L. E. Ibáñez, F. Quevedo, A. Sierra

Research output: Contribution to journalArticlepeer-review

Abstract

We discuss the construction of "realistic" lower rank 4-dimensional strings, through symmetric orbifolds with background fields. We present Z3 three-generation SU(3) × SU(2) × U(1) models as well as models incorporating a left-right SU(2)L × SU(2)R × U(1)B-L symmetry in which proton stability is automatically guaranteed. Conformal field theory selection rules are used to find the flat directions to all orders which lead to these low-rank models and to study the relevant Yukawa couplings. A hierarchical structure of quark-lepton masses appears naturally in some models. We also present a detailed study of the structure of the Z3 × Z3 orbifold including the generalized GSO projection, the effect of discrete torsion and the conformal field theory Yukawa coupling selection rules. All these points are illustrated with a three-generation Z3 × Z3 model. We have made an effort to write a self-contained presentation in order to make this material available to non-string experts interested in the phenomenological aspects of this theory.

Original languageEnglish (US)
Pages (from-to)421-474
Number of pages54
JournalNuclear Physics, Section B
Volume331
Issue number2
DOIs
StatePublished - Feb 12 1990

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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