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Analysis of the non-perturbative structure of string theory on the basis of string field theory

基于弦场论的弦论非微扰结构分析

基本信息

批准号：
15540268
负责人：
HATA Hiroyuki
金额：
$ 1.92万
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：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15540268/
关键词：
string field theory classical solution CSFT VSFT D-brane superstring theory AdS CFT correspondence loop equation Wilsonループ演算子タキオン凝縮 Dブレインソリトン

项目摘要

The purpose of the present research project is to study the various non-perturbative aspects in sting theory using "string field theory", which is a formulation of string theory, and also to reconsider the formulation of string field theory itself. We carried out the following researches for the two kinds of string field theory, Cubic String Field Theory (CSFT) and Vacuum String Field Theory (VSFT):(1)Analysis of time-dependent solutions in CSFTCSF is a string field theory expanded around an unstable D-brane. We studied the behavior of time-dependent solutions which express the decay process of the D-brane. String field theory differs very much from ordinary field theories in that the former contains infinite derivatives with respect to the time-coordinate. Our analysis is important for understanding properties particular to string field theory.(2)Construction and analysis of time-dependent solutions in VSFTWe constructed and studied time-dependent solutions corresponding to the decay … More of an unstable D-brane in the framework of VSFT, which is a string field theory expanded around the configuration without D-branes. Via the analysis using, in particular, Monte Carlo simulations, we found that it is very likely that solutions with desirable profiles exist(3)Analysis of the various properties of VSFT around a D-brane classical solutionWe studied (i) whether the gauge invariance structure associated with the photon state, and (ii) how the open string boundary condition is realiezed, in VSFT expanded around the D-brane solution.(4)Study of the relation between the loop equation in 4-dimensional N=4 super Yang-Mills theory and string field equation on AdS_5×S^5Four-dimensional N=4 super Yang-Mills theory and superstring theory on AdS_5×S^5 space-time are believed to be equivalent to each other (AdS/CFT correspondence). This research is a step toward the proof of the equivalence by showing that the loop equation in super Yang-Mills theory obeyed by the Wilson loop can be regarded as the equation of motion of superstring field theory. Although this subject was not contained in the original research plan, I think this is an important next stage of the present project. Less

本研究项目的目的是利用弦理论的一种表述形式“弦场论”来研究弦理论中的各种非微扰方面，并重新考虑弦场论本身的表述形式。我们对立方弦场论（Cubic String Field Theory，CSFT）和真空弦场论（Vacuum String Field Theory，VSFT）这两种弦场论进行了以下研究：（1）立方弦场论是一种围绕不稳定D-膜展开的弦场论。我们研究了表示D-膜衰变过程的含时解的行为。弦场论与普通场论的很大不同在于，前者包含关于时间坐标的无穷导数。我们的分析对于理解弦场论特有的性质很重要。（2）VSFT的含时解的构造与分析我们构造并研究了与衰减相对应的含时解 ...更多信息 VSFT是一种围绕不含D-膜的结构展开的弦场论。（3）D膜经典解周围VSFT的各种性质分析我们研究了D膜经典解周围VSFT展开时，（i）规范不变性结构是否与光子态有关，（ii）开弦边界条件是如何实现的。（4）研究四维N=4超杨-米尔斯理论中的圈方程与AdS_5× S^5时空上的弦场方程的关系四维N=4超杨-米尔斯理论与AdS_5×S^5时空上的超弦理论被认为是等价的（AdS/CFT对应）。通过证明Wilson圈所服从的超杨-米尔斯理论中的圈方程可以看作超弦场论的运动方程，进一步证明了等价性。虽然这个课题没有包含在最初的研究计划中，但我认为这是本项目的一个重要的下一阶段。少