Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

E{sub 6} grand unified theory with three generations from heterotic string theory

Journal Article · · Physical Review. D, Particles Fields
; ; ; ;  [1];  [2];  [3];  [1]
  1. Department of Physics, Nagoya University, Nagoya 464-8602 (Japan)
  2. Kobayashi Maskawa Institute, Nagoya University, Nagoya 464-8602 (Japan)
  3. Department of Electrophysics, National Chiao-Tung University, Hsinchu, Taiwan (China)
We construct two more supersymmetric E{sub 6} grand unified models with three generations within the framework of Z{sub 12} 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 E{sub 6} 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 E{sub 6} factors of an even self-dual momentum-lattice by a permutation symmetry. In order to realize the (E{sub 6}){sup 3} even self-dual lattice, we utilize the lattice engineering technique. Among the eight possible orbifold actions in our setup, two lead to new E{sub 6} 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.
OSTI ID:
21541570
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English