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arXiv · 2409.19261

Moduli stabilization and light axion by Siegel modular forms

Shuta Funakoshi·Junichiro Kawamura·Tatsuo Kobayashi·Kaito Nasu·Hajime Otsuka
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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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Shuta Funakoshi, Junichiro Kawamura, Tatsuo Kobayashi, Kaito Nasu, Hajime Otsuka. 2024-09-28. Moduli stabilization and light axion by Siegel modular forms. https://arxiv.org/abs/2409.19261

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