Heterotic E6 GUTs and Partition Functions
arXiv:1104.0765 · doi:10.1007/JHEP12(2011)100
Abstract
The E6 grand unified theory is an attractive candidate intermediate theory between the standard model and string theory. However, only one E6 grand unified model with three generations and at least one adjoint Higgs field has been derived from string theory in the literature, and this model is phenomenologically unsatisfactory. Recently, in arXiv:1012.1690, we have constructed two new such E6 grand unified models in heterotic asymmetric orbifolds. Although our new models themselves cannot resolve the unsatisfactory point in the previous model, our discovery raises hopes that one can construct many other such models in this framework and find better models. Here, by giving partition functions explicitly, we explain the details of our construction. Utilizing the lattice engineering technique and the diagonal embedding method, we can construct models systematically. We hope that these techniques and the details of our construction will lead to more phenomenologically desirable models.
42 pages, 2 figures, v2: text rearranged, version to appear in JHEP
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Cited by in corpus (10)
- Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds
- Gauge Symmetry Breaking Patterns in an SU(5) Grand Gauge-Higgs Unification
- The Standard Model Gauge Symmetry from Higher-Rank Unified Groups in Grand Gauge-Higgs Unification Models
- Doublet-Triplet Splitting in an SU(5) Grand Unification
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- F-theory Family Unification
- Gauge Symmetries in Heterotic Asymmetric Orbifolds
- Three-generation Asymmetric Orbifold Models from Heterotic String Theory
- Dirac gaugino from grand gauge-Higgs unification
- Dilaton Stabilization in Three-generation Heterotic String Model