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Moduli stabilization and light axion by Siegel modular forms

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arxiv 2409.19261 v1 pith:VPZJ2EZW submitted 2024-09-28 hep-th hep-ph

classification hep-thhep-ph
keywords modularmodulimathbbstabilizationaxionfixedformsinvariant
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abstract

We discuss the stabilization of multiple moduli by utilizing Siegel modular forms in the framework of $Sp(2g,\mathbb{Z})$ modular invariant theories. We derive the stationary conditions at CP-conserving fixed points for a generic modular- and CP-invariant scalar potential. The stabilization of multiple moduli is explicitly demonstrated in $Sp(4,\mathbb{Z})$ and $Sp(6,\mathbb{Z})$ modular invariant scalar potentials. Furthermore, it turns out that there exists a light axion when the moduli are stabilized nearby a fixed point.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Modulus stabilization of modular flavor models in Jordan frame supergravity

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.

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