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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.

弦对偶性在超弦理论的非微扰结构研究中起着重要的作用。本研究项目旨在弦场论框架下理解这种弦对偶性，同时在对偶性的基础上完成弦场论的构建。对于弦论对偶结构的基本对象D-膜的处理，我们得到了比较满意的结果。然而，仍然有许多需要澄清的完整治疗对偶结构使用弦场论。关于弦对偶性的其他工作，我们已经完成了一些令人满意的研究。以下是我们研究的具体描述。1）闭弦场论中的D膜：我们将D膜自由度引入到闭弦场论中。通过要求闭弦规范不变性，我们成功地确定了边界态对D-膜变量F D2μν D2的依赖性以及F D2μν D2的动力学项的形式。2）超杨-米尔斯理论中1/4 BPS解的构造：弦结是一种弦的构型，其中从三个平行的D 3-膜中出现的三个弦相遇在一点上。我们成功地构造了描述这种弦结构型的超对称杨-米尔斯理论的经典解。3）矩阵模型中的共形对称性分析：已知AdS时空中的共形对称性是作为量子效应从超杨-米尔斯理论中出现的。我们给出了超越Eikonal近似的这种量子共形对称性的完整分析。4）非对易空间中超Yang-Mills理论经典解的构造：我们构造了坐标互不对易的非对易空间中超对称Yang-Mills理论的弦结和弦结经典解。