Study of Quantum Gravity

在这一研究项目的最后一年，报告了许多重要的成果。主要结果如下：1.M.Ninomiya与Y.Kitazawa(研究员)和H.Kawai(KEK教授)一起，利用量子场论中的非微扰方法，详细研究了2+epsilon维的量子引力理论。1996年，通过归纳法证明了该理论在微扰理论中的所有阶都是可重整化的。这是第一次给出了高维的量子引力。这一理论可能成为量子引力研究的新起点。我们将继续研究量子引力的特性及其在量子宇宙学中的应用。2.T.Eguchi发表了一篇关于拓扑弦的论文，引起了全世界的极大兴趣。3.Y.Kazama报告了关于量子黑洞研究的极其重要的结果。4.R.Nakayama完成了弦场论的非微扰构造的研究，一直引领着世界对这一课题的研究。5.Y.Matsuo在W_*代数的研究上取得了划时代的结果，W_*代数在量子引力和弦理论中起着重要的作用。

In the final year of this research project there are reported numerous important achievements. Some main results are described below.1.M.Ninomiya, together with Y.Kitazawa (investigator) and H.Kawai (Professor of KEK) , constructed to study in detail a theory fo a quantum gravity in 2+epsilon dimensions by using a nonperturbative methos in quantum field theory. In 1996, it was proven by induction that the theory is renormalizable in all orders in perturbation theory. It is the first time that a consisitent quantum gravity in higer dimensions was given. The theory may be a new starting point for studing of quantum gravity. We are olanning to go ahead our study of characteristic porperties of quantum gravity and application to quantum cosmology.2.T.Eguchi published a paper on toplogical string, which attract a lot of worldwide interest.3.Y.Kazama reported an extremely important result on the study of quantum black hole.4.R.Nakayama achieved a study of nonperturbatibe construction of string field theory, whisn has been leading the study of this subject in the world.5.Y.Matsuo reproted an epoch making result on a study of W_* algebra, which plays an important role in quantum gravity and string theory.