| Project/Area Number |
63540220
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
核・宇宙線・素粒子
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
KUBO Reijiro Hiroshima Univ., Research Institute for Theoretical Physics, Associate Professor, 理論物理学研究所, 助教授 (60034609)
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| Co-Investigator(Kenkyū-buntansha) |
UEHARA Shozo Hiroshima Univ., Research Institute for Theoretical Physics, Lecturer, 理論物理学研究所, 助手 (20168652)
SASAKI Ryu Hiroshima Univ., Research Institute for Theoretical Physics, Associate Professor, 理論物理学研究所, 助教授 (20154007)
FUJIKAWA Kazuo Hiroshima Univ., Research Institute for Theoretical Physics, Professor, 理論物理学研究所, 教授 (30013436)
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| Project Period (FY) |
1988 – 1989
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| Project Status |
Completed (Fiscal Year 1989)
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| Budget Amount *help |
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1989: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1988: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | super-primary fields / spin-3 W-algebra / conformal field theory / Virasoro algebra / K-N algebras / string theory / 26 spacetime dimensions / Riemann surfaces / 共形場の理論 / 正準量子化 / 戸田格子 / S-行列 / ワイルピ-タ-ソン / 共形不変場の理論 / スーパープライマリーフィールド / リーマン面 / 可解モデル / 3次元重力 |
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| Research Abstract |
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.
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