素粒子物理学の進展2024 (PPP2024)

{Moduli stabilization and light axion by Siegel modular forms

Aug 20, 2024, 3:45 PM

2h

パナソニックホール (京都大学基礎物理学研究所)

ポスター発表 ポスター1

Speaker

Shuta Funakoshi (Kyushu university)

Description

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 potential.
Furthermore, it turns out that there exists a light axion when we incorporate radiative corrections to the scalar potential.