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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表述“弦场论”来研究弦理论中的各种非摄动方面，同时也对弦场论本身的表述进行重新思考。我们对三次弦场理论（CSFT）和真空弦场理论（VSFT）两种弦场理论进行了如下研究：(1)CSFTCSF是围绕不稳定d膜展开的弦场理论的时相关解分析。我们研究了表示d膜衰变过程的时变解的行为。弦场论与普通场论有很大的不同，因为前者对时间坐标有无限的导数。我们的分析对于理解弦场理论的特性是很重要的。(2) vsfttime -dependent解的构造与分析我们在VSFT的框架中构造并研究了一个不稳定d膜的衰变的time-dependent解，这是一个围绕没有d膜的构型展开的弦场理论。通过分析，特别是蒙特卡罗模拟，我们发现很可能存在具有理想轮廓的解(3)围绕d膜经典解的VSFT的各种性质分析我们研究了(i)在围绕d膜解展开的VSFT中，规范不变性结构是否与光子态相关，以及（ii）开弦边界条件如何实现。(4)研究了四维N=4超Yang-Mills理论中的环方程与AdS_5×S^5上的弦场方程之间的关系，认为四维N=4超Yang-Mills理论与AdS_5×S^5上的超弦理论是等价的（AdS/CFT对应）。本研究证明了威尔逊环所服从的超杨-米尔斯理论中的环方程可以看作是超弦场论的运动方程，从而向证明等效性迈出了一步。虽然这个课题没有包含在原来的研究计划中，但我认为这是目前项目下一个重要的阶段。少