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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.

Fujikawa和J. Kubo继续对NambuGoto作用进行详细的研究，作为膜理论的延续。特别是，-它已经指出，我们的一个p维扩展对象在一个p+ l维时空所描述的南武-后藤行动产生了拓扑理论;作为一个明确的例子，这样的理论，我们研究了弦理论在2维时空的细节。用这种方法，可以很透明地导出二维拓扑引力。Fujikawa与H. Suzuki进一步证明了N=2扭曲超共形代数作为拓扑引力的一个特征可以从非临界弦理论中自然地导出。在d=-2维; BRST上同调也进行了详细分析。最近，Fujikawa研究了耗散的量子隧穿。J. Kubo也在电弱相互作用和强相互作用的约化标准理论的框架下详细研究了顶夸克和Higgs粒子的质量的预测值。久保继续详细研究量子场论的高亏格黎曼曲面3由makino-使用-的克里切弗-诺维科夫形式主义。上原研究了杨-米尔斯瞬子与引力瞬子的关系，得到了一个新的方程。久保继续详细研究量子场论的高亏格黎曼曲面3由makino-使用-的克里切弗-诺维科夫形式主义。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。