Extension of the geometric method to modular flavor symmetries

Determine whether the geometric method for deriving moduli-independent flavor symmetries from heterotic-orbifold space groups can be extended to modular flavor symmetries in heterotic orbifolds.

Background

The paper develops a space-group-based construction of traditional, moduli-independent flavor symmetries, combining Abelianization charges with affine-normalizer transformations. In the outlook, it distinguishes this construction from the broader study of modular flavor symmetries and explicitly leaves open whether the method can be generalized to that setting. Such an extension would connect the geometric framework developed here with modular flavor symmetries known to arise in heterotic orbifold compactifications.

References

Similarly, one may ask the question whether our method can be extended to the study of modular flavor symmetries, which are known to be relevant in heterotic orbifolds.

— The Flavor of Non-Abelian Orbifolds  (2609.30241 - Hernandez-Segura et al., 24 Sep 2026) in Section 6, Conclusions and outlook