On flavor symmetries of phenomenologically viable string compactifications

Abstract

Heterotic orbifolds can explain the origin of flavor symmetries and the flavor representations of matter fields in particle physics as a result of the geometric properties of the associated string states in the compact space. After a review of the method to obtain flavor symmetries in these models, we determine the most frequent non-Abelian flavor symmetries appearing in promising Abelian heterotic orbifolds. Interestingly, these symmetries correspond only to D_4, Delta(54) and products of these symmetries and Abelian factors. A large set of promising models exhibits purely Abelian flavor symmetries. We finally explore the phenomenological potential of a sample model endowed with Delta(54) assuming certain ad hoc flavon expectation values.

arXiv comment12 pages, 3 tables, 1 figure. To be published in Journal of Physics Conference Series (IOP). Proceedings of the XXXI Annual Meeting of the Division of Particles and Fields of the Mexican Physical Society; v2: typos corrected

References in corpus (22)

• Non-Abelian Discrete Symmetries in Particle Physics
• Stringy origin of non-Abelian discrete flavor symmetries
• The Heterotic Road to the MSSM with R parity
• First combined analysis of neutrino and antineutrino oscillations at T2K
• Constructing 5d orbifold grand unified theories from heterotic strings
• Non-Abelian discrete gauge symmetries in 4d string models
• String-derived D4 flavor symmetry and phenomenological implications
• Complete structure of Z_n Yukawa couplings
• Higher Twisted Sector Couplings of $Z_N$ Orbifolds
• Discrete flavor symmetries in D-brane models
• Mirage Torsion
• Classification of symmetric toroidal orbifolds
• Higher Order Couplings from Heterotic Orbifold Theory
• Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds
• Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics
• On Moduli Stabilisation and de Sitter Vacua in MSSM Heterotic Orbifolds
• A note on discrete R symmetries in Z6-II orbifolds with Wilson lines
• Origin of family symmetries
• Revisiting Coupling Selection Rules in Heterotic Orbifold Models
• Moduli stabilization and SUSY breaking in heterotic orbifold string models
• Delta(54) flavor phenomenology and strings
• Flavor structure in $SO(32)$ heterotic string theory

Cited by in corpus (4)

• A String Theory of Flavor and CP
• Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds
• $\mathcal{C}\mathcal{P}$ Violation from String Theory
• Note on the space group selection rule for closed strings on orbifolds