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.

本项目1998-2000年三个学年的研究成果如下： 1．无向开闭弦系统的弦场论：我们提出了开闭弦混合系统的弦场论的全序作用，并给出了其BRS不变性的完整证明。识别出异常的单循环图，预计可以消除异常。在课程中，我们证明了 Peskin 等人 2 提出的 GGRT（广义粘合再平滑定理）的广义版本。超对称E_6大统一模型：我们构建了一个超对称E_6大统一模型，该模型结合了使用反常U(1)对称性的Frogatt-Nielsen机制，可以一致地解释夸克、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，该关系在经验上保持得非常好，并将大轻子混合角与夸克质量和混合角联系起来。 3．膜世界情景：我们指出了我们的世界所在的 3 膜波动模式的重要性，并证明了如果膜张力较小，则体积规范场的较高 Kaluza-Klein 模式的耦合会呈指数抑制。评估涨落模式对第五力和超新星冷却过程的贡献，我们得到了膜张力的下界。作为认真研究膜世界场景的准备，我们首先从已知的 6 维超共形张量演算中导出了 5 维超重力张量演算，然后显式计算了一般物质系统和杨-米尔斯超多重态耦合的不变作用。到 5 个维度的超重力。