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Moduli stabilization in finite modular symmetric models

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arxiv 2405.08316 v2 pith:ZTP4ABUF submitted 2024-05-14 hep-ph hep-th

Yoshihiko Abe , Komei Goto , Testutaro Higaki , Tatsuo Kobayashi , Kaito Nasu This is my paper · ORCID
classification hep-phhep-th
keywords modularvacuumsymmetryvacuafinitefixedformforms
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We study vacua of moduli potential consisting of multiple contribution of modular forms in a finite modular symmetry. If the potential is given by a single modular form, the Minkowski vacuum is realized at the fixed point of the modular symmetry. We show that the de Sitter vacuum is realized with a multiple modular form case and obtain a non-trivial vacuum which is away from the fixed point, i.e. a large modulus vacuum expectation value, depending on the choice of the weight and representation of the modular forms. We study these vacua numerically and analytically. It is also found that the vacua obtained in this paper preserve CP symmetry.

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  1. Large and small hierarchies from finite modular symmetries

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Using finite modular symmetries, radiative stabilization of multiple moduli can simultaneously generate large and small hierarchies, such as Im τ1 ≈ 3 and Im τ2 ≈ 15.

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