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Space-Time Structure and Symmetry of Superstring Theory

超弦理论的时空结构和对称性

基本信息

批准号：
13135205
负责人：
YONEYA Tamiaki
金额：
$ 5.95万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research on Priority Areas
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2006
项目状态：
已结题

项目摘要

T, Yoneya studied various possibilities towards field theory of D-branes. In particular, he has constructed a 2^<nd> quantized representation of 1/2-BPS operators in the Yang-Mills theory for D3-branes. Furthermore, he has proposed an entirely new theoretical framework for a general method of 2^nd quantization of D-particles. He has also established the correspondence between the two-point correlation functions and the S-matrix of the c=1 matrix model, by applying his previous proposals for the space-time interpretation of holographic principle in the so-called BMN limit. He has also applied the same method for investigating the property of Wilson loops with local operator insertions in the Yang-Mills theory.Y. Kazama has studied the pure-spinor formalism for the purpose of constructing manifestly covariant quantum theory of superstrings and supermembranes. In particular, he has proposed a double-spinor formalism as an extension of the usual pure-spinor formalism, and applied it to sup … More ermembranes and derived the algebra of first-class constraints.M. Kato has studied the structure of string-field theory. He has proposed a new gauge condition in the covariant open-string field theory of Witten, and applied it to an investigation of the effective potential for the tachyon mode. He has shown that the known singularity in the Siegel gauge is unphysical and succeeded to obtain a smooth effective potential.K. Hashimoto has studied various aspects of the dynamics of D-branes. In particular, he has applied the so-called AdS/CFT correspondence to QCD, and studied the phenomenon of chiral symmetry breaking from this viewpoint. He has also investigated the recombination of cosmic strings using D-branes and also the property of soliton solutions in meta-stable vacuua of gauge theories violating supersymmetry.S. Odake has carried out various studies on solvable quantum mechanical systems. In particular, he has studied one-dimensional systems using the sinusoidal coordinates in the Heisenberg representation, and succeeded to give a unifed and general definition for creation and annihilation operators in such systems, with applications to discrete quantum mechanics. Less

T，Yoneya研究了D-膜的场论的各种可能性。特别地，他构造了D3-膜的Yang-Mills理论中1/2-BPS算子的2^&nd&gt；量子化表示。此外，他还为D粒子二次量子化的一般方法提出了一个全新的理论框架。他还应用他以前提出的在所谓的BMN极限下解释全息原理的建议，建立了两点关联函数与c=1矩阵模型的S矩阵之间的对应关系。他还用同样的方法研究了杨-米尔斯理论中带有局域算符插入的威尔逊环的性质。Y.Kazama研究了纯旋量形式主义，目的是构建明显协变的超弦和超膜量子理论。特别是，他提出了双旋量形式主义，作为通常的纯旋量形式主义的扩展，并将其应用于超级…M.加藤研究了弦-场理论的结构。他在Witten的协变开弦理论中提出了一个新的规范条件，并将其应用于研究快子模的有效势。他证明了Siegel规范中已知的奇点是非物理的，并成功地获得了光滑的有效势。K.Hashimoto研究了D-膜动力学的各个方面。特别是，他将所谓的ADS/CFT对应应用于QCD，并从这一角度研究了手征对称性破缺现象。他还研究了使用D-膜的宇宙弦的重组，以及违反超对称性的规范理论亚稳定真空中孤子解的性质。S·奥达克对可解的量子力学系统进行了各种研究。特别是，他利用海森堡表象中的正弦坐标研究了一维系统，并成功地给出了这类系统中产生和湮灭算符的统一和普遍的定义，并将其应用于离散量子力学。较少