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4D Effective Action from Non-Abelian DBI Theory with Magnetic Background
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| Title: | 4D Effective Action from Non-Abelian DBI Theory with Magnetic Background |
| Other Titles: | 背景磁場の存在する非可換DBI理論の次元削減による4次元有効理論 |
| Authors: | 高田, 慎太郎1 Browse this author |
| Authors(alt): | Takada, Shintaro1 |
| Issue Date: | 24-Mar-2022 |
| Publisher: | Hokkaido University |
| Abstract: | In this paper, we derive 4 dimensional supersymmetric effective theory from 10 dimensional non-Abelian
Dirac-Born-Infeld (NDBI) action corresponding to D9-brane by compactifying on 6 dimensional
facorizable tori T2 × T2 × T2. In order to preserve the only 4D N = 1 supersymmetry, we introduce the magnetic
fluxes and impose the no-tachyon constraint which is just the supersymmetric condition. We
especially consider U(3) non-abelian gauge group and break U(3) to U(1)a×U(1)b×U(1)c by magnetic
fluxes. We adapt a symmetirized trace prescription NDBI action and focus on the only bosonic part
since fermionic part can be derived by supersymmetry. We expand the NDBI action in terms of F up
to O(F4) order in case that the compact scale is enough larger than the flux scale. We rewrite the 4
dimensional effective theory as a supergravity formulation. And then we obtain a new type of matter
K ahler metric, gauge kinetic function and superpotential. We can show that the gauge kineti function
and superpotential are consistent with previous studies. Also we derive an F-term scalar potential by
the two ways from NDBI reduction and Kähler metric and then we con rm that it is consistent with a
supergravity formulation. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第14785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, 特任准教授 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/2115/85884 |
| 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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