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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使用“弦场理论”（弦理论的一种表述）来研究刺理论中的各个非微扰方面，并重新考虑弦场理论本身的表述。我们对立方弦场论（CSFT）和真空弦场论（VSFT）两种弦场论进行了以下研究：（1）CSFTCSF中瞬态解的分析是围绕不稳定的D膜展开的弦场论。我们研究了表达 D 膜衰变过程的时间相关解的行为。弦场论与普通场论有很大不同，因为弦场论包含关于时间坐标的无限导数。我们的分析对于理解弦场论特有的性质非常重要。(2)VSFT中时间相关解的构建和分析我们在VSFT框架中构建并研究了与不稳定D-膜的衰减相对应的时间相关解，VSFT是围绕无D-膜构型扩展的弦场论。通过特别是蒙特卡罗模拟的分析，我们发现很可能存在具有理想剖面的解。(3)围绕D膜经典解的VSFT的各种性质分析我们研究了围绕D膜解展开的VSFT中(i)规范不变结构是否与光子状态相关，以及(ii)开弦边界条件是如何实现的。(4)环路之间关系的研究 4维N=4超杨-米尔斯理论中的方程和AdS_5×S^5上的弦场方程四维N=4超杨-米尔斯理论和AdS_5×S^5时空上的超弦理论被认为是彼此等价的（AdS/CFT对应）。这项研究表明，威尔逊环所服从的超杨-米尔斯理论中的环方程可以被视为超弦场论的运动方程，从而朝着证明等价性迈出了一步。虽然这个课题没有包含在最初的研究计划中，但我认为这是当前项目下一阶段的重要内容。较少的