Flavor structure in magnetized orbifold and blow-up manifold compactification

• Material Type: 博士論文
• Title: Flavor structure in magnetized orbifold and blow-up manifold compactification
• Author/Editor: 内田, 光
• Author Heading: 内田, 光
• Publication, Distribution, etc.: Hokkaido University
• Publication Date: 2023-03-23
• Publication Date (W3CDTF): 2023-03-23
• Alternative Title: 背景磁場入りオービフォルドおよびブローアップ多様体コンパクト化におけるフレーバー構造に関する研究
• Degree grantor/type: 北海道大学
• Date Granted: 2023-03-23
• Date Granted (W3CDTF): 2023-03-23
• Dissertation Number: 甲第15275号
• Degree Type: 博士(理学)
• Text Language Code: eng
• NDC: 400
• Target Audience: 一般
• Note (General): As the effective field theory of the superstring theory, ten-dimensional N = 1 supersymmet-ric Yang-Mills theory is induced. We consider the ten-dimensional space-time M10 as direct products of our four-dimensional space-time M4 and three two-dimensional compact spaces Xi (i = 1; 2; 3), i.e. M10 =M4 × X2 × X2 × X3. In particular, we consider Xi as a torus, the torus orbifold, and also the blow-up manifold of the torus orbifold with background magnetic uxes. We discuss the modular symmetry in the magnetized torus and its orbifold compacti-fications. We find that the modular avor groups and the representations as well as modular weights of the chiral fields such as quarks and leptons obtained from the magnetized torus as well as the orbifold compactifications can be uniquely determined with the magnetic fluxes. We also discuss the magnetized blow-up manifold compactification in which orbifold singularities are replaced by parts of sphere as a smooth manifold. We find that the chiral zero mode num-bers on the blow-up manifold as well as the orbifold can be determined only by the magnetic fluxes including localized fluxes due to the Atiyah-Singer index theorem, and then the degree of freedom of localized fluxes gives new additional chiral zero modes. We also find that the new chiral zero modes correspond to localized modes around the orbifold singularities.; (主査) 教授 小林 達夫, 教授 鈴木 久男, 准教授 瀬戸 治, 講師 末廣 一彦; 理学院（宇宙理学専攻）
• DOI: 10.14943/doctoral.k15275; https://doi.org/10.14943/doctoral.k15275
• Persistent ID (NDL): info:ndljp/pid/12911443; https://dl.ndl.go.jp/pid/12911443
• Collection: 障害者向け資料
• Collection (Materials For Handicapped People:1): テキストデータ
• Collection (particular): 国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文; https://dl.ndl.go.jp/collections/A00014
• Acquisition Basis: 博士論文（自動収集）
• Date Accepted (W3CDTF): 2023-07-08T03:42:31+09:00
• Format (IMT): application/pdf
• Access Restrictions: 国立国会図書館内限定公開
• Service for the Digitized Contents Transmission Service: 図書館・個人送信対象外
• Availability of remote photoduplication service: 可
• Periodical Title (URI): http://dx.doi.org/10.14943/doctoral.k15275; http://hdl.handle.net/2115/89526
• Data Provider (Database): 国立国会図書館 : 国立国会図書館デジタルコレクション; https://dl.ndl.go.jp

• Summary, etc.: As the effective field theory of the superstring theory, ten-dimensional N = 1 supersymmet-ric Yang-Mills theory is induced. We consider the ten-dimen...