Quantum symmetry in gauge and gravitational theories

作为膜理论的延续，Fujikawa和J. Kubo继续对NambuGoto作用进行了详细的研究。特别地，我们已经指出在p+l维时空中由南布-后藤作用描述的p维扩展物体会产生拓扑理论；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中的弦理论。通过这种方法，证明了二维拓扑重力c可以以一种非常透明的方式导出。Fujikawa和H. Suzuki进一步证明了N=2扭曲超共形代数作为拓扑引力的表征可以从非临界弦理论中自然导出。在d=-2维度；并对BRST上同性进行了详细分析。最近，Fujikawa研究了耗散的量子隧穿。这个问题是研究广义规范理论中量子隧穿的第一步。Kubo还详细研究了在电弱和强相互作用简化标准理论框架下顶夸克和希格斯粒子质量的预测值。Kubo继续对高属黎曼曲面上的量子场论进行了详细的研究。上原研究了杨-米尔斯瞬子与引力瞬子之间的关系，得到了一个新的结论。Kubo继续对高属黎曼曲面上的量子场论进行了详细的研究。上原研究了杨-米尔斯瞬子与引力瞬子之间的关系，得到了一个新的结论。

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.