Quantum symmetry in gauge and gravitational theories

规范和引力理论中的量子对称性

基本信息

批准号：
02640233
负责人：
FUJIKAWA Kazuo
金额：
$ 1.02万
依托单位：
Kyoto University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1990
资助国家：
日本
起止时间：
1990 至 1991
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02640233/
关键词：
Gauge theory Quantum gravity Membrane theory String theory Riemann surface Topological theory Orbit Space Teichmuller space クイヒミュラ-空間

项目摘要

Fujikawa together with J. Kubo continued a dentailed study of the NambuGoto action as a continuation of the membrane theory. In particular, -it has been pointed out by us that a p-dimdnsionally extended object in a p+l-dimensional space-time described by the Nambu-Goto action gives rise to a topological theory ; as an explicit example of such a theory, we studied a string theory in 2-dimensional space-time in detail. By this way, it was shown that the two-dimensional topological gravity c-an be derived in a very Transparent manner. Fujikawa together with H. Suzuki further showed that N=2 twisted superconformal algebra as a characterization of topological gravity can be naturally derived from a non-critical string theory. in d=-2 dimensions ; the BRST cohomology was also analysed in detail. More recently, Fujikawa studied the quantum tunneling with dissipation. This problem is interesting as a fir st step toward the study of quantum tunneling in gauge theory in general.J. Kubo also studied in detail the predicted values of the masses of the top quark and the Higgs particle in the framework of the reduced standard theory of electroweak and strong interactions.R. Kubo continued a detailed study of quantum field theory on higher genus Riemann surfaces 3 bY makino- use- of the Krichever-Novikov formalism.S. Uehara studied the relation between the Yang-Mills'instanton and the gravitational one and obtained a new enuation.R. Kubo continued a detailed study of quantum field theory on higher genus Riemann surfaces 3 bY makino- use- of the Krichever-Novikov formalism.S. Uehara studied the relation between the Yang-Mills'instanton and the gravitational one and obtained a new enuation.

藤川和 J. Kubo 继续对 NambuGoto 作用进行详细研究，作为膜理论的延续。特别是， - 我们已经指出，由南部后藤作用描述的 p+l 维时空中的 p 维扩展对象产生了拓扑理论；作为这种理论的一个明确的例子，我们详细研究了二维时空的弦理论。通过这种方式，表明可以以非常透明的方式导出二维拓扑引力。 Fujikawa 和 H. Suzuki 进一步证明，N=2 扭曲超共形代数作为拓扑引力的表征可以自然地从非临界弦理论导出。在 d=-2 维度中；还详细分析了 BRST 上同调。最近，藤川研究了耗散的量子隧道效应。作为规范理论中量子隧道研究的第一步，这个问题很有趣。久保还在电弱和强相互作用的简化标准理论框架内详细研究了顶夸克和希格斯粒子质量的预测值。 Kubo 通过使用 Krichever-Novikov 形式继续对高等黎曼曲面 3 上的量子场论进行详细研究。上原研究了杨-米尔斯瞬时与引力瞬时的关系，得到了一个新的方程。 Kubo 通过使用 Krichever-Novikov 形式继续对高等黎曼曲面 3 上的量子场论进行详细研究。上原研究了杨-米尔斯瞬子与引力瞬子之间的关系，得到了一个新的方程。