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Research of Superstring

超弦研究

基本信息

批准号：
02302020
负责人：
KUGO Taichi
金额：
$ 8.38万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Co-operative Research (A)
财政年份：
1990
资助国家：
日本
起止时间：
1990 至 1992
项目状态：
已结题

项目摘要

The research results of this project for 3 years from 1990 to 1992 are over many fields as seen in the Report of Research Results. So here we restrict ourselves to mentioning only to the main ones among them.1. Concerning String Field Theory, Hata proposed a method for determining the quantum action satisfying both unitarity and BRS invariance. He also proved for the first time that the pregeometrical string field theory indeed possesses the general coordinate invariance. Kugo et.al. clarified that the target-space duality as a particular property of string is in fact contained in the gauge invariance of the string field theory.2. There appeared a great progress in the non-perturbative approach to strings, in particular in the matrix model for the string in 1 or less dimensions. Yoneya and his collaborator succeeded in formulating 2-dimensional quantum gravity based on the minimal action principle. Sugamoto et.al. studied an evolution equation in the string field theory. As for the structure of string theory, Sakamoto made a remarkable finding that the string theories on a torus and on an orbifold are in fact equivalent.3. Research from the aspect of quantum gravity is also done actively. Sugamoto and his collaborators constructed and studied a topological Einstein gravity theory. Nakanishi and Abe developed a new method for solving quantum gravity in the operator formalism, and gave an exact solution to the 2-dimensional case by applying it.4. As for applications of string theory to unified models of elementary particles, Matsuoka and his collaborators studied Yukawa coupling constants and Kobayashi-Maskawa matrix in some models compactified on Calabi-Yao manifold. Otubo et.al. studied in detail the Yukawa couplings and the symmetry breaking Wilson-lines in Z_N and Z_N X Z_N orbifolds.

从1990年到1992年的三年中，该项目的研究成果涉及多个领域，详见研究成果报告。因此，在这里，我们限制自己只提到其中的主要。1.关于弦场论，Hata提出了一种确定同时满足么正性和BRS不变性的量子作用量的方法。他还首次证明了前几何弦场论确实具有一般坐标不变性。Kugo等人阐明了弦的目标空间对偶性作为弦的一种特殊性质实际上包含在弦场论的规范不变性中。弦的非微扰方法，特别是1维或更小维弦的矩阵模型，出现了很大的进展。米谷和他的合作者成功地在最小作用量原理的基础上建立了二维量子引力。Sugamoto等人研究了弦场论中的一个演化方程。至于弦理论的结构，坂本做出了一个惊人的发现：环面上的弦理论和轨道上的弦理论实际上是等价的。量子引力方面的研究也在积极进行。Sugamoto和他的合作者建立并研究了拓扑爱因斯坦引力理论。Nakanishi和Abe在算符形式下发展了一种求解量子引力的新方法，并应用该方法给出了二维情形的精确解.关于弦理论在基本粒子统一模型中的应用，Matsuoka和他的合作者研究了Calabi-Yao流形上紧化的一些模型中的Yukawa耦合常数和Kobayashi-Maskawa矩阵。Otubo等人详细研究了Z_N和Z_NXZ_N轨道中的Yukawa耦合和对称破缺Wilson线。