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

doi:10.14943/doctoral.k14785

書誌事項

タイトル: 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

タイトル別名

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

著者: 高田, 慎太郎

著者別名

Takada, Shintaro

学位授与大学: 北海道大学

取得学位: 博士(理学)

学位授与番号: 甲第14785号

学位授与年月日: 2022-03-24

説明

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.