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Non-perturbative formulation of superstring by the non-commutative geometric approach.

Research Project

Project/Area Number 12640256
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionThe University of Tokyo

Principal Investigator

KATO Mitsuhiro  The University of Tokyo, Graduate School of Arts and Sciences, Associate Professor (80185876)

Co-Investigator(Kenkyū-buntansha) YONEYA Tamiaki  The University of Tokyo, Graduate School of Arts and Sciences, Professor (10091521)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2002: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2000: ¥1,600,000 (Direct Cost: ¥1,600,000)
Keywordssuperstring / non-commutative geometry / space-time uncertainty / duality / M-theory / matrix model / lattice gauge theory / supersymmetry / 超膜理論
Research Abstract

Supersymmetric gauge theory on a lattice (Kato): In order to understand non-perturbative aspects of the supersymmetric gauge theory, we tried to formulate the system on a lattice, which has been a long-standing but difficult problem. We have succeeded to construct a theory that has a certain fermionic symmetry whose supersymmetry part survives in the continuum limit. It gives us a hope that the full supersymmetry can be formulated on a lattice.
Supermembrane and matrix string theory (Yoneya): We have shown the a certain equivalence between the zero-dimensional matrix theory obtained by taking a infinite momentum frame in the compactified M-theory and the matrinx string theory obtained by wrapping the membrane around eleventh direction. This will suggest how the eleven-dimensional Lorentz invariance can be realized in the matrix formulation of M-theory.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (49 results)

All 2008 2003 2002 2001 2000 Other

All Journal Article (27 results) Presentation (11 results) Publications (11 results)

  • [Journal Article] Novel Approach to Super Yang-Mills Theory on Lattice -Exact fermionic symmetry and "Ichimatsu" pattern-.2008

    • Author(s)
      Itoh, Kato, Sawanaka, So, Ukita
    • Journal Title

      JHEP 0302

      Pages: 33-33

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Novel Approach to Super Yang-Mills Theory on Lattice -Exact fermionic symmetry and "Ichimatsu" pattern-2003

    • Author(s)
      Katsumi Itch, Mitsuhiro Kato, Hideyuki Sawanaka, Hiroto So, Naoya Ukita
    • Journal Title

      JHEP 0302

      Pages: 33-33

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Towards the SuperYang -Mills Theory on the Lattice.2002

    • Author(s)
      Itoh, Kato, Sawanaka, So, Ukita
    • Journal Title

      Prog. Theor. Phys. 108

      Pages: 363-374

    • NAID

      130004540213

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] 5uperYang-Mills Theory on Lattice and the Transformation.2002

    • Author(s)
      Itoh, Kato, Sawanaka, So, Ukita
    • Journal Title

      Nucl. Phys. Proc. Suppl. 106-107

      Pages: 947-949

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] World-Sheet String Duality and the Hidden Supersymmetry2002

    • Author(s)
      T.Yoneya
    • Journal Title

      Am. Inst. Phys. Proc. 607

      Pages: 22-50

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Towards the SuperYang-Mills Theory on the Lattice2002

    • Author(s)
      Katsumi Itoh, Mitsuhiro Kato, Hideyuki Sawanaka, Hiroto So, Naoya Ukita
    • Journal Title

      Prog.Theor.Phys. 108

      Pages: 363-374

    • NAID

      130004540213

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Super Yang-Mills Theory on Lattice and the Transformation2002

    • Author(s)
      Katsumi Itoh, Mitsuhiro Nato, Hideyuki Sawanaka, Hiroto So, Naoya Ukita
    • Journal Title

      Nucl.Phys.Proc.Suppl. 106-107

      Pages: 947-949

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] World-Sheet String Duality and the Hidden Supersymmetry2002

    • Author(s)
      Tamiaki Yoneya
    • Journal Title

      Am.Inst.Phys.Proc. 607

      Pages: 22-50

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] From Supermembrane to Matrix String2001

    • Author(s)
      Y.Sekino, T.Yoneya
    • Journal Title

      Nucl. Phys. B 619

      Pages: 22-50

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Nonlinear Supersymmetry without the GSO Projection and Unstable D9 -Brane2001

    • Author(s)
      T.Hara, T.Yoneya
    • Journal Title

      Nucl.Phys.B 602

      Pages: 499-513

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Space-Time Uncertainty and Noncommutativity in String Theory2001

    • Author(s)
      T.Yoneya
    • Journal Title

      Int.J.Mod.Phys.A 16

      Pages: 945-955

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] StTing Theory and Gravitation : Toward QuantumG eometry2001

    • Author(s)
      T.Yoneya
    • Journal Title

      Prog.Theor.Phys.Suppl. 144

      Pages: 176-194

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] String Theory and the Uncertainty Principle2001

    • Author(s)
      T.Yoneya
    • Journal Title

      Current Science 81

      Pages: 1554-1560

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] On the Quantization of Nambu Brackets2001

    • Author(s)
      H.Awata, M.Li, D.Minic, T.Yoneya
    • Journal Title

      JHEP 0102

      Pages: 13-13

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] From Supermembrane to Matrix String2001

    • Author(s)
      Yasuhiro Sekino, Tamiaki Yoneya
    • Journal Title

      Nucl.Phys. B619

      Pages: 22-50

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Nonlinear Supersymmetry without the GSO Projection and Unstable D9-Brane2001

    • Author(s)
      Tabito Hara, Tamiaki Yoneya
    • Journal Title

      Nucl.Phys. B602

      Pages: 499-513

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Space-Time Uncertainty and Noncommutativity in String Theory2001

    • Author(s)
      Tamiaki Yoneya
    • Journal Title

      Int.J.Mod.Phys. A16

      Pages: 945-955

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] String Theory and Gravitation : Toward Quantum Geometry2001

    • Author(s)
      Tamiaki Yoneya
    • Journal Title

      Prog.Theor.Phys.Suppl. 144

      Pages: 176-194

    • NAID

      110001209214

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] String Theory and the Uncertainty Principle2001

    • Author(s)
      Tamiaki Yoneya
    • Journal Title

      Current Science 81

      Pages: 1554-1560

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] String Theory and the Space -Time Uncertainty Principle2000

    • Author(s)
      T.Yoneya
    • Journal Title

      Prog.Theor.Phys. 103

      Pages: 1081-1125

    • NAID

      110001196613

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Spontaneously Broken Space-Time Supersymmetry in Open String Theory without GSO Projection2000

    • Author(s)
      T.Yoneya
    • Journal Title

      Nucl.Phys.B 576

      Pages: 219-240

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Generalized Conformal Symmetry and Oblique AdS/CFT Correspondence for Matrix Theory2000

    • Author(s)
      T.Yoneya
    • Journal Title

      Classical and Quantum Gravity 17

      Pages: 1307-1316

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Generalized AdS-CFT Correspondence for Matrix Theory in the Large N limit2000

    • Author(s)
      Y.Sekino, T.Yoneya
    • Journal Title

      Nucl.Phys.B 570

      Pages: 174-206

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] String Theory and the Space-Time Uncertainty Principle2000

    • Author(s)
      Tamiaki Yoneya
    • Journal Title

      Prog.Theor.Phys. 103

      Pages: 1081-1125

    • NAID

      110001196613

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Spontaneously Broken Space-Time Supersymmetry in Open String Theory without GSO Projection2000

    • Author(s)
      Tamiaki Yoneya
    • Journal Title

      Nucl.Phys.B. 576

      Pages: 219-240

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Generalized Conformal Symmetry and Oblique AdS/CFT Correspondence for Matrix Theory2000

    • Author(s)
      Tamiaki Yoneya
    • Journal Title

      Classical and Quantum Gravity 17

      Pages: 1307-1316

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Journal Article] Generalized AdS-CFT Correspondence for Matrix Theory in the Large N limit2000

    • Author(s)
      Yasuhiro Sekino, Tamiaki Yoneya
    • Journal Title

      Nucl.Phys. B570

      Pages: 174-206

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Vacuum Structure of Ichimatsu Lattice Gauge Theory2003

    • Author(s)
      伊藤克美, 加藤光裕, 村田享香, 澤中英之, 宗博人
    • Organizer
      日本物理学会第58回年次大会
    • Place of Presentation
      東北大
    • Year and Date
      2003-03-30
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Exact fermionic symmetry on the Ichimatsu pattern lattice2002

    • Author(s)
      伊藤克美, 加藤光裕, 宗博人, 澤中英之, 浮田尚哉
    • Organizer
      日本物理学会2002年秋季大会
    • Place of Presentation
      立教大
    • Year and Date
      2002-09-13
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Towards the Super Yang-Mills Model on Lattice2002

    • Author(s)
      伊藤克美, 加藤光裕, 宗博人, 澤中英之, 浮田尚哉
    • Organizer
      日本物理学会第57回年次大会
    • Place of Presentation
      立命館大
    • Year and Date
      2002-03-24
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] From Wrapped Supermembrane to M(atrix) Theoxy2002

    • Author(s)
      T.Yoneya
    • Organizer
      KIAS Workshop on Strings and Branes
    • Place of Presentation
      Seoul
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Matrix Theory from Wrapped Supermembrane and Strings from Matrix Theory2002

    • Author(s)
      T.Yoneya
    • Organizer
      Third International Sakharov Conference on Physics
    • Place of Presentation
      Moscow
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Particle theory equivalent to open string2001

    • Author(s)
      加藤光裕, 長岡悟史, 大島健一
    • Organizer
      日本物理学会第56回年次大会
    • Place of Presentation
      中央大
    • Year and Date
      2001-03-17
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Holography and the Plane-Wave Limit of AdS/CFT correspondence2001

    • Author(s)
      T.Yoneya
    • Organizer
      Niahinomiya Yukawa Memorial Symposium
    • Place of Presentation
      Nishinomiya
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Aspects of String Theory : Symmetry and Dynamics2001

    • Author(s)
      T.Yonepa
    • Organizer
      Summer Workshop on Strings
    • Place of Presentation
      Beijin
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] World-Sheet String Duality and Hidden Supersymmetry2001

    • Author(s)
      T.Yoneya
    • Organizer
      The 10th Tohwa International Symposium on String Theory
    • Place of Presentation
      Fukuoka
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Space-Time Uncertaiaties and Noncommutativity2000

    • Author(s)
      T.Xoneya
    • Organizer
      KIAS Summer Workshop on Branes
    • Place of Presentation
      Seoul
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Presentation] Space-Time Uncertainties and Noncommutativity2000

    • Author(s)
      T.Yoneya
    • Organizer
      Strings 2000 International Conference
    • Place of Presentation
      Michigan
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Itoh, M.Kato, H.Sawanaka, H.So, N.Ukita: "Toward a Super Yang-Mills Theory on the Lattice"Prog. Theor. Phys.. 108. 363-374 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Itoh, M.Kato, H.Sawanaka, H.So, N.Ukita: "Novel approach to super Yang-Mills theory on lattice --Exact fermionic symmetry and "Ichimatsu" pattern--"JHEP. 02. 033 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Tamiaki Yoneya: "World-Sheet String Duality and the Hidden Supersymmetry"Am. Inst. Phys. Proc.. 607. 22-50 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Tamiaki Yoneya: "From Wrappep Supermembrane to M(atrix) Theory"The Proceedings of Third International Sakharov Conference on Physics. 630-643 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Itoh, M.Kato, H.Sawanaka, H.So, N.Ukita: "Super Yang-Mills Theory on Lattice and the Transformation."Nucl. Phys. Proc. Suppl.. 106. 947-949 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Yasuhiro Sekino, Tamiaki Yoneya: "From Supermembrane to Matrix String"Nucl. Phys.. B619. 22-50 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tabito Hara, Tamiaki Yoneya: "Nonlinear Supersymmetry without the GSO Projection and Unstable D9-Brane"Nucl. Phys.. B602. 499-513 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tamiaki Yoneya: "Space-Time Uncertainty and Noncommutativity in String Theory"Int. J. Mod. Phys.. A16. 945-956 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Awata, M.Li, D.Minic, Tamiaki Yoneya: "On the Quantization of Nambu Brackets"JETP. 02. 013-028 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Yoneya,T.: "Spontaneously Broken Space-Time Supersymmetry in Open String Theory without GSO Projection"Nucleur Physics. B576. 219-240 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yoneya,T.: "String Theory and the Space-Time Uncertainty Principle."Progress of Theoretical Physics. 103. 1081-1125 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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