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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.

本项目从1990年至1992年3年的研究成果涉及多个领域，具体见研究成果报告。因此，这里我们仅限于提及其中的主要内容： 1．关于弦场论，Hata 提出了一种确定同时满足幺正性和 BRS 不变性的量子作用的方法。他还首次证明了前几何弦场论确实具有广义坐标不变性。库戈等人。澄清了目标空间对偶性作为弦的一个特殊性质，实际上包含在弦场论的规范不变性中。 2．弦的非微扰方法出现了巨大的进步，特别是在一维或更少维度的弦的矩阵模型中。 Yoneya 和他的合作者基于最小作用原理成功地制定了二维量子引力。菅本等人。研究了弦场论中的演化方程。对于弦理论的结构，坂本做出了一个显着的发现：环面上的弦理论和轨道折叠上的弦理论实际上是等价的。 3．量子引力方面的研究也很活跃。菅本和他的合作者构建并研究了拓扑爱因斯坦引力理论。 Nakanishi和Abe发展了一种算子形式主义中求解量子引力的新方法，并应用它给出了二维情况的精确解。 4．至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在 Calabi-Yao 流形上压缩的一些模型中的 Yukawa 耦合常数和 Kobayashi-Maskawa 矩阵。奥图博等人。详细研究了 Z_N 和 Z_N X Z_N 轨道中的 Yukawa 耦合和对称性破缺 Wilson 线。