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4D Effective Action from Non-Abelian DBI Theory with Magnetic Background

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/doctoral.k14785
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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
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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