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Non-perturbative Study of (Super) String Theory by Means of Conformal Field Theory

利用共形场论对（超）弦理论进行非微扰研究

基本信息

批准号：
63540220
负责人：
KUBO Reijiro
金额：
$ 1.15万
依托单位：
HIROSHIMA 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：
1988
资助国家：
日本
起止时间：
1988 至 1989
项目状态：
已结题

项目摘要

In 1989 some important results were obtained from the study of the fundamental problems of conformal field theory. A general method was found to construct super-primary fields with integer or half-integer spins by Sasaki et al., who also showed that it is impossible to construct the spin-3 super-W-algebra proposed by Fadeev et al..Kubo et al., found fundamental properties of the Krichever-Novikov algebras and the Kac- Moody algebras on a torus. Some new insights into the anomaly inherent in a BRS currents in string theory were gained by Fujikawa et al.. They also found that string theory is indeed quantizable without restricting space-time dimensions to 26. Uehara et al., studied chaotic properties of a motion of strings on super-Riemann surfaces.In 1990 Kubo et al., formulated quantum string field theory on higher-genus Riemann surfaces on the basis of the K-N algebras. Sasaki et al., investigated the Toda lattice-field theory and obtained some interesting results. Our research results are expected to give considerable contribution to future development of conformal field theory.Workshop on 'Beyond Riemann Surfaces' was held from Feb.6 to Feb. 8 at Research Institute for Theoretical Physics, Hiroshima University, where we discussed new problems on topological field theory, soluvable models, link polynomials, global structure of conformal field theory, low dimensional topology, K-N algebras, Kac-Moody Lie groups, fundamental groups and the Laplacian and 3 dimensional gravity. The aim of the workshop is to find some more promising theories than conformal field theory.

1989年，共形场论基本问题的研究取得了一些重要结果。Sasaki等人发现了构造具有整数或半整数自旋的超准素场的一般方法，他还证明了不可能构造Fadeev等人提出的spin-3超W-代数。Kubo等人，发现了环面上的Krichever-Novikov代数和Kac- Moody代数的基本性质。Fujikawa等人对弦论中BRS流的反常现象有了新的认识。他们还发现，弦理论确实是可量化的，而不需要将时空维度限制在26。Uehara等人，研究弦在超黎曼曲面上运动的混沌特性。1990年Kubo等人，在K-N代数的基础上建立了高亏格黎曼曲面上的量子弦场论。Sasaki等人，研究了户田格场理论，得到了一些有趣的结果。2月6日至8日，在广岛大学理论物理研究所举办了“Beyond Riemann Surfaces”研讨会，讨论了拓扑场论、可解模型、连接多项式、共形场论的整体结构、低维拓扑、K-N代数、卡茨-穆迪李群，基本群和拉普拉斯和三维引力。研讨会的目的是寻找一些比共形场论更有前途的理论。