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Remark on modular weights in low-energy effective field theory from type II string theory
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abstract
We revisit the modular weights in type IIB magnetized D-brane models. The simple analysis of wave function shows that the four-dimensional matter fields have the modular weight -1/2, but it may shift as one in type IIA intersecting D-brane models. For example, the localized gauge flux as well as the localized curvature can shift the modular weight in the magnetized D-brane models. Such corrections do not affect physical couplings such as physical Yukawa couplings. However, it leads to differences in supersymmetry breaking sfermion masses, which depend on the modular weights, although the $A$-term coefficients and the sum of sfermion masses squared seem to be the same between two models.
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Cited by 1 Pith paper
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Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models
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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