82 Citations
Flavor and CP from String Theory
- Physics
- 2021
Modular transformations of string theory are shown to play a crucial role in the discussion of discrete flavor symmetries in the Standard Model. They include CP transformations and provide a…
Eclectic flavor scheme from ten-dimensional string theory - II detailed technical analysis
- Physics
- 2020
Anatomy of a top-down approach to discrete and modular flavor symmetry
- PhysicsProceedings of 7th Symposium on Prospects in the Physics of Discrete Symmetries, DISCRETE 2020-2021 — PoS(DISCRETE2020-2021)
- 2022
The framework of compactified heterotic string theory offers consistent ultraviolet (UV) comple-tions of the Standard Model (SM) of particle physics. In this approach, the existence of flavor symmetries…
Residual flavor symmetry breaking in the landscape of modular flavor models
- Physics
- 2022
We study a symmetry breaking of residual flavor symmetries realized at fixed points of the moduli space. In the supersymmetric modular invariant theories, a small departure of the modulus from fixed…
Modular flavor symmetry on a magnetized torus
- Mathematics
- 2020
We study the modular invariance in magnetized torus models. The modular invariant flavor model is a recently proposed hypothesis for solving the flavor puzzle, where the flavor symmetry originates…
Completing the eclectic flavor scheme of the ℤ2 orbifold
- Physics
- 2021
We present a detailed analysis of the eclectic flavor structure of the two-dimensional Z2 orbifold with its two unconstrained moduli T and U as well as SL(2,Z)T × SL(2,Z)U modular symmetry. This…
Fermion mass hierarchies from modular symmetry
- Physics
- 2020
We show how quark and lepton mass hierarchies can be reproduced in the framework of modular symmetry. The mechanism is analogous to the Froggatt-Nielsen (FN) mechanism, but without requiring any…
References
SHOWING 1-10 OF 56 REFERENCES
Modular symmetry and non-Abelian discrete flavor symmetries in string compactification
- MathematicsPhysical Review D
- 2018
We study the modular symmetry in magnetized D-brane models on $T^2$. Non-Abelian flavor symmetry $D_4$ in the model with magnetic flux $M=2$ (in a certain unit) is a subgroup of the modular symmetry.…
CP and other Symmetries of Symmetries
- Physics
- 2016
Outer automorphisms of symmetries (``symmetries of symmetries'') in relativistic quantum field theories are studied, including charge conjugation (C), space-reflection (P) , and time-reversal (T)…
Are neutrino masses modular forms?
- Physics, MathematicsFrom My Vast Repertoire ...
- 2018
We explore a new class of supersymmetric models for lepton masses and mixing angles where the role of flavour symmetry is played by modular invariance. The building blocks are modular forms of level…
Origin of family symmetries
- Physics
- 2013
Discrete (family) symmetries might play an important role in models of elementary particle physics. We discuss the origin of such symmetries in the framework of consistent ultraviolet completions of…
Twisted sector representations of discrete background symmetries for two-dimensional orbifolds
- Mathematics
- 1991
Modular A5 symmetry for flavour model building
- MathematicsJournal of High Energy Physics
- 2019
A bstractIn the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group Γ5 ≃…