E6 grand unified theory with three generations from heterotic string theory

Motoharu Ito, Shogo Kuwakino, Nobuhiro Maekawa, Sanefumi Moriyama, Keijiro Takahashi, Kazuaki Takei, Shunsuke Teraguchi, Toshifumi Yamashita

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

We construct two more supersymmetric E6 grand unified models with three generations within the framework of Z12 asymmetric orbifold compactification of the heterotic string theory. Such an asymmetric orbifold is missing in the classification in the literature, which concludes that only one E6 model is possible. In both of the new models, an adjoint Higgs field is obtained in virtue of the diagonal embedding method. This method mods out the three E6 factors of an even self-dual momentum-lattice by a permutation symmetry. In order to realize the (E 6)3 even self-dual lattice, we utilize the lattice engineering technique. Among the eight possible orbifold actions in our setup, two lead to new E6 models. Though these models still share the unsatisfactory issues with the known one, our discovery raises hopes that excellent models that solve all the problems in the supersymmetric grand unified models will be found in this framework.

Original languageEnglish
Article number091703
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume83
Issue number9
DOIs
Publication statusPublished - 2011 May 19

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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