Modular Zeros

Fuente: arXiv
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Main Authors: Liu, Xiang-Gan, Ratz, Michael
Format: Preprint
Published: 2025
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author Liu, Xiang-Gan
Ratz, Michael
author_facet Liu, Xiang-Gan
Ratz, Michael
contents Modular symmetries are known to be powerful and have various remarkable properties. We point out that the structure of vector-valued modular forms (VVMFs) space leads to the absence of couplings which cannot be explained in terms of the usual symmetries. These modular zeros, which correspond to gaps in spaces of VVMFs, have the power of explaining certain stringy zeros, and to explain the renowned Weinberg texture that relates the Cabibbo angle to the hierarchies of the light down and strange quarks.
format Preprint
id arxiv_https___arxiv_org_abs_2512_21386
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modular Zeros
Liu, Xiang-Gan
Ratz, Michael
High Energy Physics - Theory
Modular symmetries are known to be powerful and have various remarkable properties. We point out that the structure of vector-valued modular forms (VVMFs) space leads to the absence of couplings which cannot be explained in terms of the usual symmetries. These modular zeros, which correspond to gaps in spaces of VVMFs, have the power of explaining certain stringy zeros, and to explain the renowned Weinberg texture that relates the Cabibbo angle to the hierarchies of the light down and strange quarks.
title Modular Zeros
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.21386