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arxiv 2301.10356 v2 pith:W3BGE732 submitted 2023-01-24 hep-th hep-ph

Remark on modular weights in low-energy effective field theory from type II string theory

Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Hajime Otsuka , Shohei Takada , Hikaru Uchida This is my paper
classification hep-th hep-ph
keywords modularmodelsd-branetypeweightscouplingslocalizedmagnetized
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Massive modes on magnetized blow-up manifold of $T^2/\mathbb{Z}_N$

    hep-th 2026-04 unverdicted novelty 5.0

    Blow-up of magnetized T²/Z_N preserves total magnetic flux, total curvature, and effective flux on connecting lines, while the number of localized modes at each singularity increases by one per mass level increment.