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Moduli stabilization in finite modular symmetric models

2024/05/14 by Yoshihiko Abe, Komei Goto, Abe, Yoshihiko +7 · 1 citation
Computer Science · #Advanced Database Systems and Queries #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Multi-Agent Systems and Negotiation #Semantic Web and Ontologies

paper · pdf · doi:10.48550/arxiv.2405.08316

openalex publication_date 2024/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study vacua of moduli potential consisting of multiple contribution of modular forms in a finite modular symmetry. If the potential is given by a single modular form, the Minkowski vacuum is realized at the fixed point of the modular symmetry. We show that the de Sitter vacuum is realized with a multiple modular form case and obtain a non-trivial vacuum which is away from the fixed point, i.e. a large modulus vacuum expectation value, depending on the choice of the weight and representation of the modular forms. We study these vacua numerically and analytically. It is also found that the vacua obtained in this paper preserve CP symmetry.

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