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使用“弦字段理论”来研究Sting理论中的各种非扰动方面，该方面是字符串理论的公式，并且还重新考虑了弦乐场理论本身的公式。我们对两种字符串字段理论，立方字段理论（CSFT）和真空字符串场理论（VSFT）进行了以下研究，:( 1）分析CSFTCSF中时间依赖性解决方案是围绕不稳定的D-Brane扩展的弦场理论。我们研究了表达d-brane衰减过程的时间依赖性溶液的行为。弦场理论与普通场理论有很大不同，因为前者包含相对于时间坐标的无限衍生物。我们的分析对于理解特定于字符串场理论的属性很重要。（2）在VSFTWE中构建和分析VSFTWE的解决方案构建和研究分解的时间相关的解决方案对应于衰减……更多的是VSFT框架中不稳定的D-Brane，这是围绕无d-Branes的构造围绕配置扩展的不稳定的D-Brane。通过分析，特别是使用蒙特卡洛模拟，我们发现存在具有理想曲线的解决方案（3）分析围绕D-Brane经典解决方案的VSFT的各种特性，我们研究了（i）与光子状态相关的量规结构，以及（ii）围绕开放式边界的vs nouripe a offereize operie toseize optrane optrane clange the versie the versie the dybrane n d-brane rot d-brane rot d-brane rot dybrane of d-brane rot dybrane rot dybrane rot n drane of。在4维n = 4中，ADS_5×S^5f s^5four-n = 4 super Yang-mills理论和弦场等效性n = 4 Super Yang-Mills理论和ADS_5×S^5时空上的SuperString理论被认为是彼此相等的（ADS/CFT对应关系）。研究是朝着等价证明的一步，它表明威尔逊循环遵守的超级阳米尔斯理论中的循环方程可以被视为超音场理论运动方程。尽管该主题没有包含在原始研究计划中，但我认为这是本项目的重要下一阶段。较少的