# Siegel modular flavor group and CP from string theory

@article{Baur2021SiegelMF, title={Siegel modular flavor group and CP from string theory}, author={Alexander Baur and Moritz Kade and H. P. Nilles and S. Ramos-S{\'a}nchez and Patrick K. S. Vaudrevange}, journal={Physics Letters B}, year={2021}, volume={816}, pages={136176} }

## 15 Citations

### 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…

### CP symmetry and symplectic modular invariance

- Mathematics
- 2021

We analyze CP symmetry in symplectic modular-invariant supersymmetric theories. We show that for genus g ≥ 3 the definition of CP is unique, while two independent possibilities are allowed when g ≤…

### Modular invariant dynamics and fermion mass hierarchies around τ = i

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We discuss fermion mass hierarchies within modular invariant flavour models. We analyse the neighbourhood of the self-dual point τ = i, where modular invariant theories possess a residual…

### Fermion mass hierarchies, large lepton mixing and residual modular symmetries

- Physics
- 2021

In modular-invariant models of flavour, hierarchical fermion mass matrices may arise solely due to the proximity of the modulus τ to a point of residual symmetry. This mechanism does not require…

### Modular Invariant $A_{4}$ Models for Quarks and Leptons with Generalized CP Symmetry

- Physics
- 2020

We perform a systematical analysis of the A 4 modular models with generalized CP for the masses and ﬂavor mixing of quarks and leptons, and the most general form of the quark and lepton mass matrices…

### Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry

- Physics
- 2022

We study the prediction for leptogenesis in two renormalizable supersymmetric SO (10) × A 4 modular models in which the neutrino mass is dominantly generated by the type I seesaw mechanism. The…

### Residual flavor symmetry breaking in the landscape of modular flavor models

- PhysicsJournal of High Energy Physics
- 2022

Abstract
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…

### 4D modular flavor symmetric models inspired by a higher-dimensional theory

- MathematicsPhysical Review D
- 2022

We study a scenario to derive four-dimensional modular ﬂavor symmetric models from higher dimensional theory by assuming the compactiﬁcation consistent with the modular symmetry. In our scenario,…

### Modular flavour symmetries and modulus stabilisation

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the problem of modulus stabilisation in the framework of the modular symmetry approach to the flavour problem. By analysing simple UV-motivated CP-invariant potentials for the…

### Top-down anatomy of flavor symmetry breakdown

- PhysicsPhysical Review D
- 2022

A top-down approach to the ﬂavor puzzle leads to eclectic ﬂavor groups which include modular and traditional ﬂavor symmetries. Based on examples of semirealistic T 2 / Z 3 orbifold compactiﬁcations…

## References

SHOWING 1-10 OF 38 REFERENCES

### The eclectic flavor symmetry of the $\boldsymbol{\mathbb{Z}_2}$ orbifold

- Mathematics
- 2020

Modular symmetries naturally combine with traditional flavor symmetries and $\mathcal{CP}$, giving rise to the so-called eclectic flavor symmetry. We apply this scheme to the two-dimensional…

### CP violation and modular symmetries

- Materials Science
- 2001

We reconsider the origin of $\mathrm{CP}$ violation in fundamental theory. Existing string models of spontaneous $\mathrm{CP}$ violation make ambiguous predictions, due to the arbitrariness of…

### Multiple modular symmetries as the origin of flavor

- MathematicsPhysical Review D
- 2020

We develop a general formalism for multiple moduli and their associated modular symmetries. We apply this formalism to an example based on three moduli with finite modular symmetries ${S}_{4}^{A}$,…

### Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications

- MathematicsNuclear Physics B
- 2021

### Automorphic forms and fermion masses

- Mathematics
- 2020

We extend the framework of modular invariant supersymmetric theories to encompass invariance under more general discrete groups Γ, that allow the presence of several moduli and make connection with…

### MODULI SPACES AND TARGET SPACE DUALITY SYMMETRIES IN (0,2) ZN ORBIFOLD THEORIES WITH CONTINUOUS WILSON LINES

- Mathematics
- 1994

### Exploring the landscape of heterotic strings on Td

- Mathematics
- 2020

Compactifications of the heterotic string on T^d are the simplest, yet rich enough playgrounds to uncover swampland ideas: the U(1)^{d+16} left-moving gauge symmetry gets enhanced at special points…