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Flavor structure in magnetized orbifold and blow-up manifold compactification
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| Title: | Flavor structure in magnetized orbifold and blow-up manifold compactification |
| Other Titles: | 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 |
| Authors: | 内田, 光 Browse this author |
| Issue Date: | 23-Mar-2023 |
| Publisher: | Hokkaido University |
| Abstract: | 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. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第15275号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (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 |
| Degree Affiliation: | 理学院（宇宙理学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/89526 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
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