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<p>We discuss the stabilization of multiple moduli by utilizing Siegel modular forms in the framework of Sp(2<i>g</i>, ℤ) modular invariant theories. For a generic modular- and CP-invariant scalar potential, we find that CP-conserving fixed points are stationary points. For concreteness, the stabilization of multiple moduli is explicitly demonstrated in Sp(4, ℤ) and Sp(6, ℤ) modular invariant scalar potentials. Furthermore, it turns out that there exists a light axion when the moduli are stabilized nearby a fixed point.</p>

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Moduli stabilization and light axion by Siegel modular forms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月13日

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  • Shuta Funakoshi,
  • Junichiro Kawamura,
  • Tatsuo Kobayashi,
  • Kaito Nasu,
  • Hajime Otsuka

摘要

We discuss the stabilization of multiple moduli by utilizing Siegel modular forms in the framework of Sp(2g, ℤ) modular invariant theories. For a generic modular- and CP-invariant scalar potential, we find that CP-conserving fixed points are stationary points. For concreteness, the stabilization of multiple moduli is explicitly demonstrated in Sp(4, ℤ) and Sp(6, ℤ) modular invariant scalar potentials. Furthermore, it turns out that there exists a light axion when the moduli are stabilized nearby a fixed point.