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String field theory and D-brane

弦场论和D-膜

基本信息

批准号：
16540232
负责人：
MATSUO Yutaka
金额：
$ 2.6万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2004
资助国家：
日本
起止时间：
2004 至 2007
项目状态：
已结题

项目摘要

We studied string field theory and the subcritical quantum gravity which is described by the matrix quantum mechanics. In particular, we focused on the open string sector where the D-brane plays the fundamental role. Matrix quantum mechanics is defined by the quantum mechanical system where matrix is used as the dynamical degree of freedom. So far, people have studied their closed string sector. These degree of freedom is known to be reduced to the free fermion and extensive study was possible for them. On the other hand, the open string which is related the D-brane is described by so called non-singlet sector. The system is then governed by the Calogero system with interactions. Because of this interaction, the analysis of the system becomes far more difficult and there have not been many studies. In order to treat this issue, in this study, we focused on the infinite set of conserved charges and succeeded to construct the states which diagonalize all the charges. In this way, we clarified the solvability of the open string sector which has not been so clear. We also studied M(embrane) theory in the 3 form flux background. This is a generalization of the string motion in the presence of two form flux. So far, this problem has been studied so called Nambu bracket. In this study, we have studied the motion of point like particle, which will spread when it moves in the flux. From this observation, we could define the vertex which describe the interaction of the particle. We also studied UV/IR mixing which was studied extensively in the noncommutative space to our background.

我们研究了弦场论和矩阵量子力学描述的亚临界量子引力。特别是，我们专注于开弦扇区，D-膜在其中扮演着重要角色。矩阵量子力学是以矩阵作为动力学自由度的量子力学系统。到目前为止，人们已经研究了它们的闭弦扇区。这些自由度被认为是减少到自由费米子和广泛的研究是可能的。另一方面，与D-膜相关的开弦用所谓的非单态扇区来描述。然后，系统由Calogero系统进行交互管理。由于这种相互作用，对系统的分析变得更加困难，并且没有太多的研究。为了解决这一问题，在本研究中，我们把注意力集中在守恒电荷的无限集合上，并成功地构造了使所有电荷对角化的态。通过这种方式，我们澄清了开弦扇区的可解性，这是不太清楚的。我们还研究了三种形式通量背景下的M（膜）理论。这是存在两种形式通量时弦运动的推广。到目前为止，这个问题已经被研究所谓的Nambu括号。本文研究了点粒子在流场中运动时的扩散问题。从这个观察，我们可以定义描述粒子相互作用的顶点。我们还研究了UV/IR混合，这是在非对易空间中广泛研究的背景。