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Main Authors: Funakoshi, Shuta, Kawamura, Junichiro, Kobayashi, Tatsuo, Nasu, Kaito, Otsuka, Hajime
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.19261
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author Funakoshi, Shuta
Kawamura, Junichiro
Kobayashi, Tatsuo
Nasu, Kaito
Otsuka, Hajime
author_facet Funakoshi, Shuta
Kawamura, Junichiro
Kobayashi, Tatsuo
Nasu, Kaito
Otsuka, Hajime
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_19261
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Moduli stabilization and light axion by Siegel modular forms
Funakoshi, Shuta
Kawamura, Junichiro
Kobayashi, Tatsuo
Nasu, Kaito
Otsuka, Hajime
High Energy Physics - Theory
High Energy Physics - Phenomenology
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.
title Moduli stabilization and light axion by Siegel modular forms
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2409.19261