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Quantum symmetry in gauge and gravitational theories

Research Project

Project/Area Number 02640233
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 核・宇宙線・素粒子
Research InstitutionKyoto University

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) 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)
KUBO Jisuke  Kanazawa Univ. College of Liberal Arts Associate Professor, 教養部, 助教授
Project Period (FY) 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)
KeywordsGauge theory / Quantum gravity / Membrane theory / String theory / Riemann surface / Topological theory / Orbit Space / Teichmuller space / 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 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.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] K.Fujikawa: "Gauge Symmetry in Extended Objects and the Stability Of Compactified Membranes" Nuclear Physics B. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Fujiwara: "Anomalous Non-Abelian Gauge Theories Based on the Batalin-Fradkin Formalism" Physics Letters B. B251. 427-433 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] R.Kubo: "Quantum Field Theory on Higher-Genus Rieman Surfaces-Bosonic Systems-" Progress of Theoretical Physics. 84. 1240-1251 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Uehara: "The Weil-Petersson Kahler Form on the Super Teichmuller Space" Physics Letters B. B250. 72-77 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Fujikawa: "Nambu-Gots Action in D=2 and Topological Field Theories" Physics Letters B.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Fujikawa: "Topological Conformal Algebra and BRST Algebra in Non-critical String Theories" Nuclear Physics B.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Fujikawa J. Kubo: "Gauge Symmetry in Extended Objects and Stability of Compactified Membranes" Nuclear Physics. B 356 No. 1. 208-228 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Fujiwara Y. Igarashi J. Kubo: "Anormalous Non-Abelian Gauge Theories Based on the Batalin-Fradkin Formalism" Physics Letters. B251 No. 3. 427-433 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] R. Kubo: "Quantum Field Theory on Higher-Genus Riemann Surfaces -Bosonic Systems" Progress of Theoretical Physics. 84 No. 6. 1240-1251 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S. Uehara Y. Yasui: "The Weil-Peterson Kahler Form on the Super Teichmuller Space" Physics Letters. B250 No. 1. 72-77 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Fujikawa J. Kubo H. Terao: "Nambu-Goto Action in D=2 and Topological Field Theories" Physics Letters. B263 No. 3, 4. 371-377 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Fujikawa H. Suzuki: "Topological Conformal Algebra and BRST Algebra in Non-critical String Theories" Nuclear Physics. B361 No. 3. 539-554 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Fujikawa S. Iso M. Sasaki H. Suzuki: "Canonical Formulation of Quantum Tunneling with Dissipation" Physical Review Letters. 68 No. 8. 1093-1096 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S. Uehara Y. Yasui: "On the Monodromy Group for the Super Schwarzian Differential Equation" Journal of Mathematical Physics. 32 No. 11. 2972-2978

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Y. Igarashi J. Kubo: "Green-Schwarz Superstring in Two Dimensions and Topological Field Theories" Physics Letters. B268 No. 3, 4. 351-358

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] J. Kubo: "Rrecise determination of the top quark and Higgs masses in the reduced standard theory for electroweak and strong interactions" Physics Letters. B262 No. 4. 472-476 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Fujiware Y. Igarashi J. Kubo: "Investigation of Anormalous Schwinger Trerms Based on the Batalin-Fradkin-Vilkovisky Frmalism" Nuclear Physics. B358 No. 1. 195-211 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S. Iso K. Fujikawa M. Sasaki H. Suzuki: "Quantum Tunneling with Dissipation" Physical Review. B.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Fuiikawa: "Gauge Symmetry in Extended Objects and the Stability of Compactified Membranes" Nuclear Physics B. (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Fujiwara: "Anomalous NonーAbelian Gauge theories Based on the BatalinーFradkin Formalism" Physics Letters B. B251. 427-433 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] R.Kubo: "Quantum Field Theory on HigherーGenus Rieman SurfacesーBosonic Systemsー" Progress of Theoretical Physics. 84. 1240-1251 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Uehara: "The WeilーPetersson Kahler Form on the Super Teichmuller Space" Physics Letters B. B250. 72-77 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Fujikawa: "NambuーGots Action in D=2 and Topological Field Theories" Physics Letters B.

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Fujikawa: "Topological Conformal Algebra and BRST Algebra in Nonーcritical String Theories" Nuclear Physics B.

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Fujikawa: "Gauge Symmetry in Extended objects and the Stability of Compactified Membranes" Nuclear Physics B. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Fujiwara: "Anomalous NonーAbelian Gauge Theories Based on the BatalinーFradkin Formalism" Physics Letters B. B251. 427-433 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] R.Kubo: "Quantum Field Theory on HigherーGenus Rieman SurfacesーBosonic Systemsー" Progress of Theoretical Physics. 84. 1240-1251 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Uehara: "The WeilーPetersson Ka^^″hler Form on the Super Teichmu^^″ller Space" Physics Letters B. B250. 72-77 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Fujikawa: "NambuーGots Action in D=2 and Topological Field Theories" Physics Letters B.

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Fujikawa: "Topological Conformal Algebra and BRST Algebra in Nonーcritical String Theories" Nuclear Physics B.

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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