Modular flavour symmetry and orbifolds

DOI10.1007/JHEP06(2023)122arXiv2304.05958OpenAlexW4381685984MaRDI QIDQ6176389

Author name not available (Why is that?)

Publication date: 25 July 2023

Published in: (Search for Journal in Brave)

Abstract: We develop a bottom-up approach to flavour models which combine modular symmetry with orbifold constructions. We first consider a 6d orbifold

m a t h b b T^{2} / m a t h b b Z_{N}

, with a single torus defined by one complex coordinate

z

and a single modulus field

a u

, playing the role of a flavon transforming under a finite modular symmetry. We then consider 10d orbifolds with three factorizable tori, each defined by one complex coordinate

z_{i}

and involving the three moduli fields

a u_{1}, a u_{2}, a u_{3}

transforming under three finite modular groups. Assuming supersymmetry, consistent with the holomorphicity requirement, we consider all 10d orbifolds of the form

(m a t h b b T^{2})^{3} / (m a t h b b Z_{N} i m e s m a t h b b Z_{M})

, and list those which have fixed values of the moduli fields (up to an integer). The key advantage of such 10d orbifold models over 4d models is that the values of the moduli are not completely free but are constrained by geometry and symmetry. To illustrate the approach we discuss a 10d modular seesaw model with