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High Energy Physics - Phenomenology

Title: Moduli stabilization in finite modular symmetric models

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 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 by a numerical and analytically. It is also found that vacua obtained in this paper preserve CP symmetry.
Comments: 46 pages, 12 figures, 10 tables
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Report number: EPHOU-24-005
Cite as: arXiv:2405.08316 [hep-ph]
  (or arXiv:2405.08316v1 [hep-ph] for this version)

Submission history

From: Yoshihiko Abe [view email]
[v1] Tue, 14 May 2024 04:49:05 GMT (3026kb,D)

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