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

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arxiv 1904.02867 v2 pith:DVW6XPDC submitted 2019-04-05 hep-th hep-ph

classification hep-thhep-ph
keywords mathbbwavefunctionszero-modesblow-upchiralcouplingseffectsmagnetized
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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.

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  1. Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models

    hep-th 2025-07 conditional novelty 5.0 of 10

    The paper constructs zero-mode wave functions for all chiralities on non-factorizable magnetized T^{2g} and uses them to exhibit three-generation spectra in T^{2g}/Z_N orbifold models.

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