Kobayashi, T., Otsuka, H., Takada, S., & Uchida, H. (2024). Modular symmetry of localized modes. arXiv:2410.05788v1 [hep-th].
This paper aims to determine the modular symmetry properties of localized zero modes on a T2/Z2 orbifold, which are induced by localized magnetic fluxes at fixed points.
The authors utilize a top-down approach, employing stringy calculations and analyzing the wave function profiles of the localized zero modes under modular transformations. They consider a simplified two-dimensional toroidal orbifold (T2/Z2) to maintain the full modular symmetry.
The study demonstrates that localized zero modes on a T2/Z2 orbifold, induced by localized magnetic fluxes, exhibit specific modular flavor symmetries (S3 or S′4) depending on the modular weight and the configuration of the fluxes.
This research contributes to the understanding of modular flavor symmetries in string theory and provides insights into the behavior of localized modes in orbifold compactifications. This has implications for model building in particle physics, particularly in understanding flavor structures and potentially explaining observed fermion masses and mixing patterns.
The study focuses on a simplified two-dimensional T2/Z2 orbifold. Further research could explore higher-dimensional orbifolds and more complex configurations of localized fluxes. Investigating the phenomenological implications of these findings in realistic particle physics models is another promising avenue for future work.
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by Tatsuo Kobay... at arxiv.org 10-10-2024
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