2024-03-29T06:18:53Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/858842022-11-17T02:08:08Zhdl_2115_54835hdl_2115_20136hdl_2115_54822hdl_2115_54823hdl_2115_201244D Effective Action from Non-Abelian DBI Theory with Magnetic Background背景磁場の存在する非可換DBI理論の次元削減による4次元有効理論高田, 慎太郎Takada, Shintaro小林, 達夫鈴木, 久男瀬戸, 治末廣, 一彦open access400In 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.(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 一彦理学院(宇宙理学専攻)Hokkaido University2022-03-24engdoctoral thesisVoRhttps://doi.org/10.14943/doctoral.k14785http://hdl.handle.net/2115/8588410.14943/doctoral.k14785http://hdl.handle.net/2115/85883v, 241p甲第14785号博士(理学)2022-03-2410101北海道大学https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/85884/1/Shintaro_Takada.pdfapplication/pdf877.66 KB2022-03-24