Project/Area Number  02640233 
Research Category 
GrantinAid for Scientific Research (C).

Research Field 
核・宇宙線・素粒子

Research Institution  Kyoto University 
Principal Investigator 
FUJIKAWA Kazuo Kyoto Univ. Yukawa Inst. for Theoretical Physics Professor, 基礎物理学研究所, 教授 (30013436)

CoInvestigator(Kenkyūbuntansha) 
UEHARA Shozo Kyoto Univ. for Theoretical Physics, 基礎物理学研究所, 助手 (20168652)
KUBO Reijiro Kyto Univ. Yukawa Institute Associate Professor, 基礎物理学研究所, 助教授 (60034609)
久保 治輔 金沢大学, 教養部, 助教授
KUBO Jisuke Kanazawa Univ. College of Liberal Arts Associate Professor

Project Fiscal Year 
1990 – 1991

Project Status 
Completed(Fiscal Year 1991)

Budget Amount *help 
¥1,600,000 (Direct Cost : ¥1,600,000)
Fiscal Year 1991 : ¥700,000 (Direct Cost : ¥700,000)
Fiscal Year 1990 : ¥900,000 (Direct Cost : ¥900,000)

Keywords  Gauge theory / Quantum gravity / Membrane theory / String theory / Riemann surface / Topological theory / Orbit Space / Teichmuller space / ゲジ理論 / 量子重力 / 膜の理論 / 弦理論 / リマン面 / トポロジ / 軌道空間 / タイヒミュラ空間 / クイヒミュラ空間 
Research Abstract 
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 pdimdnsionally extended object in a p+ldimensional spacetime described by the NambuGoto action gives rise to a topological theory ; as an explicit example of such a theory, we studied a string theory in 2dimensional spacetime in detail. By this way, it was shown that the twodimensional topological gravity can 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 noncritical 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 KricheverNovikov formalism. S. Uehara studied the relation between the YangMills'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 KricheverNovikov formalism. S. Uehara studied the relation between the YangMills'instanton and the gravitational one and obtained a new enuation.
