Duality in String Field Theory

弦场论中的对偶性

基本信息

批准号：
09640346
负责人：
HATA Hiroyuki
金额：
$ 1.66万
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：
1997
资助国家：
日本
起止时间：
1997 至 1999
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640346/
关键词：
superstring theory string field theory duality D-brane BPS classical solution monopole Matrix model non-commutative space 弦理論 string junction 古典解共形対称性 Born-Infeld作用

项目摘要

The string duality has played important roles in the studies of non-perturbative structures of superstring theory. The present research project aims at understanding this string duality in the framework of string field theory, and at the same time, completing the construction of string field theory on the basis of duality. Concerning the treatment of D-brane, which is the basic object for the duality structure of string theory, we have obtained a rather satisfactory results. However, much still remains to be clarified for the complete treatment duality structure using string field theory. As for other works concerning string duality, we have accomplished a number of satisfactory researches. The following is the concrete description of our researches.1) D-branes in Closed String Field Theory : We have introduced the D-brane degrees of freedom into closed string field theory. By demanding the closed string gauge invariance, we have succeeded in determining the dependence of the boundary state on the D-brane variable FィイD2μνィエD2 and the form of the kinetic term of FィイD2μνィエD2.2) Construction of 1/4 BPS Solutions in Super Yang-Mills Theories : String junction is a configuration of strings where the three strings emerging from three parallel D3-branes meet at a point. We have succeeded in constructing classical solutions in supersymmetric Yang-Mills theory which describes this string junction configuration.3) Analysis of Conformal Symmetries in Matrix Model : It was known that the conformal symmetry in AdS space-time emerges from super Yang-Mills theory as a quantum effect. We have presented a complete analysis of this quantum conformal symmetry beyond the Eikonal approximation.4) Construction of Classical Solutions in Super Yang-Mills Theory in Non-Commutative Space : We have constructed monopole and string junction classical solutions in supersymmetric Yang-Mills theory in non-commutative space where the coordinates do not com-mute each other.

弦二重性在超弦理论的非扰动结构的研究中起着重要作用。本研究项目旨在在字符串场理论的框架中理解这种弦二重性，同时，基于二元性完成弦场理论的构建。关于d-brane的处理，这是弦理论二元性结构的基本对象，我们获得了相当满意的结果。但是，使用字符串场理论的完整治疗双重性结构仍然有待澄清。至于有关字符串二元性的其他作品，我们完成了许多满意度研究。以下是我们研究的具体描述。1）封闭的弦字段理论中的d-branes：我们将d-brane自由度介绍给了封闭的弦乐场理论。 By demanding the closed string gauge invariance, we have succeeded in determining the dependence of the boundary state on the D-brane variable FYI D2μνE D2 and the form of the kinetic term of FYI D2μνE D2.2) Construction of 1/4 BPS Solutions in Super Yang-Mills Theories : String junction is a configuration of strings where the three strings emerging from three parallel D3-branes meet at a 观点。我们已经成功地在超对称的阳米尔斯理论中构建了经典的解决方案，该理论描述了这种弦线结构。3）矩阵模型中的共形符号分析：众所周知，ADS时空中的保形对称性来自Super Yang-Mills理论作为量子效应。我们已经对超出艾科纳尔近似之外的这种量子整形对称性进行了完整的分析。4）在非共同空间中超级阳米尔斯理论中的经典解决方案的构建：我们已经在非交互性空间中构建了超对称性扬米尔在非共同空间中构建了单调和弦乐的经典解决方案，在该空间中，我们构建了均不交集的Yang-Mills理论。