Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications

We explore the geometrical origin of CP and the spontaneous CP violation in Calabi-Yau compactifications. We find that the CP symmetry is identified with an outer automorphism of the symplectic modular group in the large complex structure regime of Calabi-Yau threefolds, thereby enlarging the symple...

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Autores principales:	Keiya Ishiguro, Tatsuo Kobayashi, Hajime Otsuka
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/f0330767bff2411b900153ff9ff27ade
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spelling	oai:doaj.org-article:f0330767bff2411b900153ff9ff27ade2021-12-04T04:32:55ZSpontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications0550-321310.1016/j.nuclphysb.2021.115598https://doaj.org/article/f0330767bff2411b900153ff9ff27ade2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321002959https://doaj.org/toc/0550-3213We explore the geometrical origin of CP and the spontaneous CP violation in Calabi-Yau compactifications. We find that the CP symmetry is identified with an outer automorphism of the symplectic modular group in the large complex structure regime of Calabi-Yau threefolds, thereby enlarging the symplectic modular group to their semidirect product group. The spontaneous CP violation is realized by the introduction of fluxes, whose effective action is invariant under CP as well as the discrete Z2 symmetry or Z4 R-symmetry. We explicitly demonstrate the spontaneous CP violation on a specific Calabi-Yau threefold.Keiya IshiguroTatsuo KobayashiHajime OtsukaElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115598- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Keiya Ishiguro Tatsuo Kobayashi Hajime Otsuka Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
description	We explore the geometrical origin of CP and the spontaneous CP violation in Calabi-Yau compactifications. We find that the CP symmetry is identified with an outer automorphism of the symplectic modular group in the large complex structure regime of Calabi-Yau threefolds, thereby enlarging the symplectic modular group to their semidirect product group. The spontaneous CP violation is realized by the introduction of fluxes, whose effective action is invariant under CP as well as the discrete Z2 symmetry or Z4 R-symmetry. We explicitly demonstrate the spontaneous CP violation on a specific Calabi-Yau threefold.
format	article
author	Keiya Ishiguro Tatsuo Kobayashi Hajime Otsuka
author_facet	Keiya Ishiguro Tatsuo Kobayashi Hajime Otsuka
author_sort	Keiya Ishiguro
title	Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
title_short	Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
title_full	Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
title_fullStr	Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
title_full_unstemmed	Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
title_sort	spontaneous cp violation and symplectic modular symmetry in calabi-yau compactifications
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/f0330767bff2411b900153ff9ff27ade
work_keys_str_mv	AT keiyaishiguro spontaneouscpviolationandsymplecticmodularsymmetryincalabiyaucompactifications AT tatsuokobayashi spontaneouscpviolationandsymplecticmodularsymmetryincalabiyaucompactifications AT hajimeotsuka spontaneouscpviolationandsymplecticmodularsymmetryincalabiyaucompactifications
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Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications

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