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Dynamics of superstring and unification of elementary particles

Research Project

Project/Area Number 18540264
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKyoto University

Principal Investigator

HIKARU Kawai (KAWAI Hikaru)  Kyoto University, 大学院・理学研究科, 教授 (80211176)

Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,020,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥720,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
Keywords超弦理論 / 素粒子論 / 行列模型 / 統一理論 / 量子重力 / 非摂動的定式化 / 粘弾性 / ゲージ重力対応 / 時空の生成 / 構成的定式化 / 統一模型 / 一般化されたスケール不変性 / type IIA理論 / II B行列模型 / 曲がった時空
Research Abstract

This research aims to define superstring theory constructively, so that various physical quantities can be obtained by numerical calculations that are possible, at least in principle, as in lattice gauge theory. Matrix model is a promising candidate of such formulation. We have analyzed its various aspects by using both analytical and numerical methods, and made some progress towards the construction of the theory of everything.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (47 results)

All 2010 2009 2008 2007 2006

All Journal Article (34 results) (of which Peer Reviewed: 13 results) Presentation (13 results)

  • [Journal Article] Large N reduction on coset spaces2010

    • Author(s)
      Hikaru Kawai, Shinji Shimasaki, Asato Tsuchiya
    • Journal Title

      Phys. Rev. D 81

      Pages: 85019-85019

    • NAID

      120002126599

    • Related Report
      2009 Final Research Report
  • [Journal Article] Large N reduction on coset spaces.2010

    • Author(s)
      Hikaru Kawai, Shinji Shimasaki, Asato Tsuchiya
    • Journal Title

      Phys. Rev. D81

      Pages: 85019-85019

    • NAID

      120002126599

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Universal description of viscoelasticity with foliation preserving diffeomorphisms2009

    • Author(s)
      Tatsuo Azeyanagi, Masafumi Fukuma, Hikaru Kawai, Kentaroh Yoshida
    • Journal Title

      Phys. Lett. B 681

      Pages: 290-295

    • NAID

      120006410711

    • Related Report
      2009 Final Research Report
  • [Journal Article] Worldsheet Analysis of Gauge/Gravity Dualities2009

    • Author(s)
      Tatsuo Azeyanagi, Masanori Hanada, Hikaru Kawai, Yoshinori Matsuo
    • Journal Title

      Nucl. Phys. B 816

      Pages: 278-292

    • Related Report
      2009 Final Research Report
  • [Journal Article] Universal description of viscoelasticity with foliation preserving diffeomorphisms.2009

    • Author(s)
      Tatsuo Azeyanagi, Masafumi Fukuma, Hikaru Kawai, Kentaroh Yoshida
    • Journal Title

      Phys. Lett. B681

      Pages: 290-295

    • NAID

      120006410711

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Worldsheet Analysis of Gauge/Gravity Dualities.2009

    • Author(s)
      Tatsuo Azeyanagi, Masanori Hanada, Hikaru Kawai, Yoshinori Matsuo
    • Journal Title

      Nucl. Phys. B816

      Pages: 278-292

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Worldsheet Analysis of Gauge/Gravity Dualities2009

    • Author(s)
      T. Azeyanagi, M. Hanada, H. Kawai
    • Journal Title

      Nuclear Physics B

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Perturbative vacua from IIB matrix Model2008

    • Author(s)
      Hikaru Kawai, Matsuo Sato
    • Journal Title

      Int. J. Mod. Phys. A 23

      Pages: 2279-2280

    • Related Report
      2009 Final Research Report
  • [Journal Article] Some Implications of Perturbative Approach to AdS/CFT Correspondence.2008

    • Author(s)
      Hikaru Kawai, Takao Suyama
    • Journal Title

      Nucl. Phys. B 794

      Pages: 1-12

    • Related Report
      2009 Final Research Report
  • [Journal Article] Perturbative vacua from IIB matrix Model2008

    • Author(s)
      Hikaru Kawai, Matsuo Sato
    • Journal Title

      Phys. Lett. B 659

      Pages: 712-717

    • Related Report
      2009 Final Research Report
  • [Journal Article] AdS/CFT correspondence as a consequenceof scale invariance2008

    • Author(s)
      Hikaru Kawai, Takao Suyama
    • Journal Title

      Nucl. Phys. B 789

      Pages: 209-224

    • Related Report
      2009 Final Research Report
  • [Journal Article] Perturbative vacua from IIB matrix model2008

    • Author(s)
      Hikaru Kawai, Matsuo Sato
    • Journal Title

      Int. J. Mod. Phys A23

      Pages: 2279-2280

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] Some Implications of Perturbative Approach to AdS/CFT Correspondence2008

    • Author(s)
      Hikaru Kawai, Takao Suyama
    • Journal Title

      Nucl. Phys B794

      Pages: 1-12

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Perturbative Vacua from IIB Matrix Model2008

    • Author(s)
      Hikaru Kawai, Matsuo Sato
    • Journal Title

      Phys. Lett B659

      Pages: 712-717

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] AdS/CFT correspondence as a consequence of scale invariance2008

    • Author(s)
      Hikaru Kawai, Takao Suyama
    • Journal Title

      Nucl. Phys B789

      Pages: 209-224

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Perturbative vacua from IIB matrix mlodel.2008

    • Author(s)
      Hikaru Kawai, et al.
    • Journal Title

      Int. J. Mod. Phys. A23

      Pages: 2279-2280

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Some Impuplications of Perturbative Approach to AdS/CFT Correspondence.2008

    • Author(s)
      Hikaru Kawa, et al.
    • Journal Title

      Nucl. Phys. B794

      Pages: 1-12

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some Implications of Perturbative Approach to AdS/CFT Correspondence.2008

    • Author(s)
      Hikaru Kauai, Takao Suyama.
    • Journal Title

      Nucl. Phys. B794

      Pages: 1-12

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Perturbative Vacua from IIB Matrix Model.2008

    • Author(s)
      Hikaru Kawai, Matsuo Sato.
    • Journal Title

      Phys. Lett. B659

      Pages: 712-717

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] AdS/CFT correspondence as a consequence of scale invariance.2008

    • Author(s)
      Hikaru Kawai, Takao Suyama.
    • Journal Title

      Nucl. Phys. B789

      Pages: 209-224

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Curved space-times in matrix models2007

    • Author(s)
      Hikaru Kawai
    • Journal Title

      Prog. Theor. Phys. Suppl. 171

      Pages: 99-109

    • NAID

      110006632520

    • Related Report
      2009 Final Research Report
  • [Journal Article] Field equations of massless fields in the new interpretation of the matrix model2007

    • Author(s)
      Ko Furuta, Masanori Hanada, Hikaru Kawai, Yusuke Kimura
    • Journal Title

      Nucl. Phys. B 767

      Pages: 82-99

    • Related Report
      2009 Final Research Report
  • [Journal Article] Curved space-times in matrix models2007

    • Author(s)
      Hikaru Kawai
    • Journal Title

      Prog. Theor. Phys. Suppl 171

      Pages: 99-109

    • NAID

      110006632520

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] Field equations of massless fields in the new interpretation of the matrix model2007

    • Author(s)
      K. Furuta, M. Hanada, H. Kawai
    • Journal Title

      Nucl. Phys B767

      Pages: 82-99

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Field equations of massless fields in the new interpretation of the matrix model.2007

    • Author(s)
      Ko Furuta, Masanori Hanada, Hikaru Kawai, Yusuke Kimura.
    • Journal Title

      Nucl. Phys. B767

      Pages: 82-99

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Phase structure of the large-N reduced gauge theory and generalized Weingartenmodel2006

    • Author(s)
      M. Hanada, H. Kawai, T. Kanai, F. Kubo
    • Journal Title

      Prog. Theor. Phys. 115

      Pages: 1167-1177

    • NAID

      110004759552

    • Related Report
      2009 Final Research Report
  • [Journal Article] Higher order terms of improved mean field approximation for IIB matrix model and emergence of four-dimensionalspace-time2006

    • Author(s)
      T. Aoyama, H. Kawai
    • Journal Title

      Prog. Theor. Phys. 116

      Pages: 405-415

    • Related Report
      2009 Final Research Report
  • [Journal Article] Stability of 4-dimensional space-time from IIB matrix model via improved meanfield approximation2006

    • Author(s)
      T. Aoyama, H. Kawai, Y. Shibusa
    • Journal Title

      Prog. Theor. Phys. 115

      Pages: 1179-1187

    • NAID

      110004759553

    • Related Report
      2009 Final Research Report
  • [Journal Article] Curved superspaces and local supersymmetry in supermatrix model2006

    • Author(s)
      Masanori Hanada, Hikaru Kawai, Yusuke Kimura
    • Journal Title

      Prog. Theor. Phys. 115

      Pages: 1003-1025

    • NAID

      110004749489

    • Related Report
      2009 Final Research Report
  • [Journal Article] Phase structure of the large-N reduced gauge theory and generalized Weingarten model2006

    • Author(s)
      M. Hanada, H. Kawai, T. Kanai, F. Kubo
    • Journal Title

      Prog. Theor. Phys 115

      Pages: 1167-1177

    • NAID

      110004759552

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Phase structure of the large-N reduced gauge theory and generalized Weingarten model.2006

    • Author(s)
      M.Hanada, H.Kawai, T.Kanai, F.Kubo.
    • Journal Title

      Prog. Theor. Phys. 115

      Pages: 1167-1177

    • NAID

      110004759552

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Higher order terms of improved mean field approximation for IIB matrix model and emergence of four-dimensional2006

    • Author(s)
      T.Aoyama, H.Kawai.
    • Journal Title

      Prog. Theor. Phys. 116

      Pages: 405-415

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Stability of 4-dimensional space-time from IIB matrix model via improved mean field approximation.2006

    • Author(s)
      T.Aoyama, H.Kawai, Y.Shibusa.
    • Journal Title

      Prog. Theor. Phys. 115

      Pages: 1179-1187

    • NAID

      110004759553

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Curved superspaces and local supersymmetry in supermatrix model.2006

    • Author(s)
      Masanori Hanada, Hikaru Kawai, Yusuke Kimura.
    • Journal Title

      Prog. Theor. Phys. 115

      Pages: 1003-1025

    • NAID

      110004749489

    • Related Report
      2006 Annual Research Report
  • [Presentation] Dense strings and Schwarzschild black hole2010

    • Author(s)
      川合光, 松尾俊寛
    • Organizer
      日本物理学会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 曲がった空間上での行列模型と場の理論の対応関係について2010

    • Author(s)
      岩崎皓, 川合光, 島崎信二
    • Organizer
      日本物理学会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Symposium on "Numerical approaches to AdS/CFT, large N and gravity"2009

    • Author(s)
      Hikaru Kawai
    • Place of Presentation
      Imperial College London
    • Year and Date
      2009-09-29
    • Related Report
      2009 Final Research Report
  • [Presentation] ゲ-ジ/重力対応に関する弦の世界面の立場からの理解2009

    • Author(s)
      畔柳竜生, 花田政範, 川合光, 松尾善典
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大
    • Year and Date
      2009-03-30
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Type IIA String from IIB Matrix Model2008

    • Author(s)
      川合光, 佐藤松夫
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大
    • Year and Date
      2008-10-23
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Perturbative Vacua from IIB Matrix Model2008

    • Author(s)
      佐藤松夫, 川合光
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Perturbative Vacua from IIB Matrix Model.2008

    • Author(s)
      佐藤松夫
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Perturbative Vacua from IIB Matrix Model2008

    • Author(s)
      川合光, 佐藤松夫
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大
    • Year and Date
      2008-03-24
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Perturbative String from Matrix Model2007

    • Author(s)
      川合光, 佐藤松夫
    • Organizer
      日本物理学会
    • Place of Presentation
      北大
    • Year and Date
      2007-10-21
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Symposium on "Random Matrix Theory"2007

    • Author(s)
      Hikaru Kawai
    • Place of Presentation
      Niels Bohr Institute, Copenhagen
    • Year and Date
      2007-05-16
    • Related Report
      2009 Final Research Report
  • [Presentation] Quenching IIB matrix model2007

    • Author(s)
      畔柳竜生, 古田黄, 花田政範, 川合光, 木村祐介
    • Organizer
      日本物理学会
    • Place of Presentation
      首都大
    • Year and Date
      2007-03-27
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Test for AdS/CFT correspondence via noncritical string theory2007

    • Author(s)
      川合光、松尾善典, 森順一, 須山孝夫
    • Organizer
      日本物理学会
    • Place of Presentation
      首都大
    • Year and Date
      2007-03-27
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 行列模型と零質量場の運動方程式2007

    • Author(s)
      花田政範, 古田黄, 川合光, 木村祐介
    • Organizer
      日本物理学会
    • Place of Presentation
      首都大
    • Year and Date
      2007-03-25
    • Related Report
      2008 Self-evaluation Report

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Published: 2006-04-01   Modified: 2016-04-21  

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