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String Field Theory and D-brane Dynamics

弦场论和 D 膜动力学

基本信息

批准号：
10640261
负责人：
KUGO Taichi
金额：
$ 2.05万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1998
资助国家：
日本
起止时间：
1998 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640261/
关键词：
string field theory anomaly E_6 grand unified model mass matrix brane world supergravity Kaluza-Klein mode tensor calculus ブレーン世界シナリオ不変作用アノマラスU(1)D-brane braneのゆらぎ Kaluza-Klein モードニュートリノ BRS不変性 GUT

项目摘要

The research results of our project for three academic years in 1998-2000 are as follows :1. String field theory of unoriented open-closed string system : We presented a full order action of the string field theory for the mixed system of open and closed strings and gave a complete proof for its BRS invariance. Anomalous one-loop graphs are identified which are expected to cancel the anomaly. In the course, we proved a generalized version of the GGRT (generalized gluing resmoothing theorem) by Peskin et al.2. Supersymmetric E_6 grand unified model : We constructed a supersymmetric E_6 grand unified model which incorporates the Frogatt-Nielsen mechanism using anomalous U (1) symmetry and can consistently explain all the mass matrices of quark, lepton and neutrino sectors. In the process of analyzing mass matrices, we found an interesting novel relation which holds remarkably well empirically and relates the large lepton mixing angle to the quark masses and a mixing angle.3. Brane world scenario : We pointed out the imporatance of the fluctuation mode of the 3-brane on which our world lies, and proved that the couplings of the higher Kaluza-Klein modes of the bulk gauge field are exponentially suppressed if the brane tension is small. Evaluating the contributions of the fluctuation mode to the fifth force and the supernova cooling process, we obtained the lower bound for the brane tension. As a preparation for investigating the brane world scenario seriously, we first derived a supergravity tensor calculus in 5 dimensions from the known 6-dimensional superconformal tensor calculus, and then explicitly calculated and invariant action for the general system of matter and Yang-Mills supermultiplets coupled to supergravity in 5 dimensions.

本课题在1998-2000三个学年的研究成果如下：1.无向开闭弦系统的弦场论：给出了开闭弦混合系统的弦场论的全阶作用量，并给出了它的BRS不变性的完整证明。异常的单回路图被识别，预计将取消异常。在课程中，我们证明了Peskin等人2提出的GGRT（广义胶合重平滑定理）的广义版本。超对称E_6大统一模型：我们构造了一个超对称E_6大统一模型，它包含了Frogatt-Nielsen机制，利用反常U（1）对称性，能一致地解释夸克、轻子和中微子扇区的所有质量矩阵。在分析质量矩阵的过程中，我们发现了一个有趣的新关系，这个关系在经验上是非常成立的，它将大轻子混合角与夸克质量和混合角联系起来.膜世界场景：指出了我们的世界所处的3-膜的涨落模的重要性，证明了当膜张力较小时，体规范场的高Kaluza-Klein模的耦合是指数抑制的.计算了涨落模对第五种力和超新星冷却过程的贡献，得到了膜张力的下界。作为认真研究膜世界的准备，我们首先从已知的6维超共形张量演算出发，导出了5维超引力张量演算，然后明确地计算了5维一般物质系统和与超引力耦合的Yang-Mills超多重态的作用量和不变作用量.