Wavefunctions and Yukawa Couplings on Resolutions of $T^2/{\mathbb{Z}}_N$ Orbifolds

Abstract

We propose matter wavefunctions on resolutions of $T^2/{\mathbb{Z}}_N$ singularities with constant magnetic fluxes. In the blow-down limit, the obtained wavefunctions of chiral zero-modes result in those on the magnetized $T^2/{\mathbb{Z}}_N$ orbifold models, but the wavefunctions of ${\mathbb{Z}}_N$-invariant zero-modes receive the blow-up effects around fixed points of $T^2/{\mathbb{Z}}_N$ orbifolds. Such blow-up effects change the selection rules and Yukawa couplings among the chiral zero-modes as well as the modular symmetry, in contrast to those on the magnetized $T^2/{\mathbb{Z}}_N$ orbifold models.

19 pages, 2 figures, v2: published version

References in corpus (7)

• Three generation magnetized orbifold models
• Higher Order Couplings in Magnetized Brane Models
• Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds
• Higher Order Couplings from Heterotic Orbifold Theory
• Wave Functions and Yukawa Couplings in Local String Compactifications
• SO(32) heterotic line bundle models
• $SO(32)$ heterotic standard model vacua in general Calabi-Yau compactifications

Cited by in corpus (5)

• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Remark on modular weights in low-energy effective field theory from type II string theory
• Hierarchical structure of physical Yukawa couplings from matter field Kähler metric
• Flavor structure of magnetized $T^2/{\mathbb{Z}}_2$ blow-up models