Abstract
We propose matter wavefunctions on resolutions of T2/ℤN singularities with constant magnetic fluxes. In the blow-down limit, the obtained wavefunctions of chiral zero-modes result in those on the magnetized T2/ℤN orbifold models, but the wavefunctions of ℤN -invariant zero-modes receive the blow-up effects around fixed points of T2/ℤN 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 T2/ℤN orbifold models.
Highlights
Certain class of resolution of toroidal orbifolds like CN /ZN with N ≥ 2 [17] and stringy corrections are discussed on them [18]
The Yukawa couplings among chiral zero-modes as well as the modular symmetry are different from the toroidal orbifold results, because ZN invariant zero-modes receive the blow-up effects around fixed points of T 2/ZN orbifolds
We have proposed the zero-mode wavefunctions on the resolutions of T 2/ZN orbifolds with constant magnetic fluxes, where the orbifold fixed points are replaced by a part of sphere
Summary
We determine the normalization factors. We study the wavefunctions on the blow-up of T 2/Z2. We consider the blow-up, where the singularity at only the origin (x, y) = (0, 0) is resolved. The normalization factor reduces to be (ck1,M. where φjT,M2/Z−2 is the Z2-odd wavefunction on T 2/Z2 and we note that φjT,M2/Z+2 (0) ≡. We normalize the wavefunctions such that they satisfy fjj = 1. This fjk is a Hermitian matrix and unitary at O(r4) order which gives the wavefunction φj in the orthonormal basis. We can compute the wavefunction normalization on the blow-up of T 2/Z2, where some and all of fixed points are resolved. We can calculate the wavefunction normalization of the blow-ups of T 2/ZN orbifolds
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
