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Modular Family Symmetry in Fluxed GUTs

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arxiv 2407.06618 v2 pith:ZKB2LZ7O submitted 2024-07-09 hep-ph hep-th

Vasileios Basiouris , Miguel Crispim Romão , Stephen F. King , George K. Leontaris This is my paper · ORCID
classification hep-phhep-th
keywords modularfamilyfluxedgutssymmetrylocalanalyseapproach
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abstract

We discuss modular family symmetry in effective theories based on generic properties of bottom-up local F-theory inspired GUTs broken by fluxes, which we refer to as Fluxed GUTs. We argue that the Yukawa couplings will depend on the complex structure moduli of the matter curves in such a way that they can be modular forms associated with these symmetries. To illustrate the approach we analyse in detail a concrete local fluxed $SU(5)$ GUT with modular $S_4$ family symmetry.

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