Wavefunctions and Yukawa couplings on resolutions of T2/ℤN orbifolds

Abstract

Abstract We propose matter wavefunctions on resolutions of T 2/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/ℤ N orbifold models, but the wavefunctions of ℤ N -invariant zero-modes receive the blow-up effects around fixed points of T 2/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/ℤ N orbifold models.