Stringy origin of non-Abelian discrete flavor symmetries
By Tatsuo C. Kobayashi, H. Nilles, Felix Ploger, S. Raby, M. Ratz. 2006
278 citations recorded by the source corpus.
Abstract We study the origin of non-Abelian discrete flavor symmetries in superstring theory. We classify all possible non-Abelian discrete flavor symmetries which can appear in heterotic orbifold models. These symmetries include D 4 and Δ ( 54 ) . We find that the symmetries of the couplings are always larger than the symmetries of the compact space. This is because they are a consequence of the geometry of the orbifold combined with the space group selection rules of the string. We also study possible breaking patterns. Our analysis yields a simple geometric understanding of the realization of non-Abelian flavor symmetries.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a1a89185a640f3780248a6cb923412af296f04ee
How researchers see this paper
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In Astronomy and Astrophysics
- F. Marchesano
- A. Uranga
- P. G. Cámara
- Ralph Blumenhagen
- P. O. Ludl
- James Richard Andrew Gray
- André Lukas
- Yang-Hui He
In Nuclear and High Energy Physics
- F. Marchesano
- A. Uranga
- Eran Palti
- P. G. Cámara
- Ralph Blumenhagen
- James Richard Andrew Gray
- André Lukas
- L. Anderson
Citations in the corpus
- Non-Abelian discrete gauge symmetries in 4d string models (2012, background): “to complement the recent discussions of discrete symmetries in heterotic orbifolds (see [60, 61] and references therein).”
- Finite flavour groups of fermions (2011, background): “Apart from (6) ∼= S3 and (24) ∼= S4, a group of type D used as flavour symmetry is (54) [50].”
- Exploring positive monad bundles and a new heterotic standard model (2009, background): “In effect, this is the equivalent for smooth Calabi-Yau compactifications of the comprehensive scans of orbifold compactifications which have been carried out in recent years [19–28].”
- Unification of flavor, CP, and modular symmetries (2019, background): “If one takes into account the Z3 × Z3 space group selection rule of the two-dimensional Z3 orbifold [42,43], the combined flavor symmetry results as [7]”