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Construction of string theory with noncritical strings and its applications

Research Project

Project/Area Number 19540288
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

FUKUMA Masafumi  Kyoto University, 大学院・理学研究科, 准教授 (10252529)

Project Period (FY) 2007 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords超弦理論 / 非臨界弦 / 量子重力 / Yang-Mills理論 / ゲージ理論 / 非平衡熱力学 / 粘弾性体理論 / ホログラフィー原理 / エントロピー / 粘弾性体 / deconstruction / AdS / CFT対応 / 超対称性 / 行列模型
Research Abstract

In order to formulate a noncritical string theory from gauge theories, I developed analytic methods for three-dimensional large N gauge theories. I first identified a complete (not overcomplete) set of gauge-invariant local variables, and gave an algorithm to analytically calculate various physical quantities in the large N limit. I further proposed a framework where four-dimensional gauge theories are defined from three-dimensional quiver gauge theories through the so-called deconstruction. In parallel with this work, I also developed a relativistic nonequilibrium thermodynamics including gravity, in order to obtain deeper understandings of holographic natures of quantum gravity theories, which is supposed to be defined by a string theory.

Report

(6 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report   Self-evaluation Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (26 results)

All 2011 2010 2009 2008 2007 Other

All Journal Article (10 results) (of which Peer Reviewed: 9 results) Presentation (16 results)

  • [Journal Article] Universal description of viscoelasticity with foliation preserving diffeomorphisms2009

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

      Physics Letters B 681

      Pages: 290-295

    • NAID

      120006410711

    • Related Report
      2010 Final Research Report 2009 Annual Research Report 2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Towards (de)constructing 4D Yang-Mills theory2008

    • Author(s)
      Masafumi Fukuma, Ken-Ichi Katayama
    • Journal Title

      International Journal of Modern Physics A23

      Pages: 2099-2099

    • NAID

      110006880987

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Notes on the "Hamiltonian formulation of 4D Yang-Mills theory"2008

    • Author(s)
      Masafumi Fukuma, Ken-Ichi Katayama, Takao Suyama
    • Journal Title

      Journal of High Energy Physics 0804

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Towards (de)constructing 4D Yang-Mills theory2008

    • Author(s)
      Masafumi Fukuma, Ken-Ichi Katayama
    • Journal Title

      International Journal of Modern Physics A 2208

      Pages: 2099-2099

    • NAID

      110006880987

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Notes on the Hamiltonian formulation of 3D Yang-Mills theory2008

    • Author(s)
      Masafumi Fukuma, Ken-Ichi Katayama, Takao Suyama
    • Journal Title

      Journal of High Energy Physics 0804

      Pages: 95-95

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Notes on the Hamiltonian formulation of 3D Yang-Mills theory2008

    • Author(s)
      Masafumi Fukuma, et al.
    • Journal Title

      Journal of High Energy Physics 804

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Towards (de) constructing 4D Yang-Mills theory2008

    • Author(s)
      Masafumi Fukuma, et al.
    • Journal Title

      International Journal of Modern Physics A 2203

      Pages: 2099-2106

    • NAID

      110006880987

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Towards (de) constructing 4D Yang-Mills theory2008

    • Author(s)
      Masafumi Fukuma and Ken-Ichi Katayama
    • Journal Title

      Progress of String Theory and Quantum Field Theory at Osaka City University (December 7-10,

    • NAID

      110006880987

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Towards (de) constructing 4D Yang-Mills theory2008

    • Author(s)
      福間 将文
    • Journal Title

      素粒子論研究

    • NAID

      110006880987

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Universal description of viscoelasticity with foliation preserving diffeomorphisms Proceedings of "Quantum Theory and Symmetries 6 (QTS6)"

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

      Journal of Physics 掲載予定

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] Entropic formulation of relativistic continuum mechanics2011

    • Author(s)
      酒谷雄峰・福間将文
    • Organizer
      日本物理学会2010秋季大会
    • Place of Presentation
      新潟大学 (web公開)
    • Year and Date
      2011-03-28
    • Related Report
      2010 Final Research Report
  • [Presentation] Entropic formulation of relativistic continuum mechanics2011

    • Author(s)
      酒谷雄峰、福間将文
    • Organizer
      日本物理学会2010秋季大会
    • Place of Presentation
      新潟大学(web公開)
    • Year and Date
      2011-03-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] 粘弾性体力学の相対論的定式化について2010

    • Author(s)
      酒谷雄峰・福間将文
    • Organizer
      日本物理学会2010秋季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 相対論的粘弾性体力学の定式化とその応用について2010

    • Author(s)
      酒谷雄峰・福間将文
    • Organizer
      日本物理学会2010秋季大会
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-09-11
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Deconstructing 4D Yang-Mills theory2010

    • Author(s)
      福間将文・片山賢一
    • Organizer
      日本物理学会2010年春季大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-22
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] Universal description of viscoelasticity2010

    • Author(s)
      福間将文
    • Organizer
      弦理論研究会2010
    • Place of Presentation
      立教大学
    • Year and Date
      2010-01-07
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] Towards (de)constructing 4D Yang-Mills theory2009

    • Author(s)
      福間将文・片山賢一
    • Organizer
      日本物理学会2009年秋季大会(甲南大)
    • Place of Presentation
      甲南大学
    • Year and Date
      2009-09-11
    • Related Report
      2010 Final Research Report
  • [Presentation] Towards (de) constructing 4D Yang-Mills theory2009

    • Author(s)
      福間将文、片山賢一
    • Organizer
      日本物理学会2009年秋季大会(甲南大)
    • Place of Presentation
      甲南大学
    • Year and Date
      2009-09-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Universal description of viscoelasticity with foliation preserving diffeomorphisms2009

    • Author(s)
      福間将文
    • Organizer
      Quantum Theory and Symmetries 6
    • Place of Presentation
      Kentucky大学(米国)
    • Year and Date
      2009-07-22
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] Universal description of viscoelasticity with foliation preserving diffeomorphisms2009

    • Author(s)
      Masafumi Fukuma
    • Organizer
      Quantum Theory and Symmetries 6
    • Place of Presentation
      Kentucky 大学 (米国)
    • Year and Date
      2009-07-22
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Effective Hamiltonian Method2008

    • Author(s)
      福間将文・片山賢一
    • Organizer
      日本物理学会・第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Related Report
      2010 Final Research Report 2007 Annual Research Report
  • [Presentation] Towards (de)constructing 4D Yang-Mills theory2007

    • Author(s)
      福間将文
    • Organizer
      Progress of String Theory and Quantum Field Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2007-12-07
    • Related Report
      2010 Final Research Report
  • [Presentation] Towards (de) constructing 4D Yang-Mills theory2007

    • Author(s)
      Masafumi Fukuma
    • Organizer
      Progress of String Theory and Quantum Field Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2007-12-07
    • Related Report
      2009 Self-evaluation Report 2007 Annual Research Report
  • [Presentation] (3+1)次元Yang-Mills理論の解析的計算2007

    • Author(s)
      福間将文・片山賢一・須山孝夫
    • Organizer
      日本物理学会・第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-22
    • Related Report
      2010 Final Research Report 2007 Annual Research Report
  • [Presentation] Towards (de)constructing 4D Yang-Mills theory2007

    • Author(s)
      福間将文
    • Organizer
      基研研究会「弦理論と場の理論 - 量子と時空の最前線」
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-08-10
    • Related Report
      2010 Final Research Report
  • [Presentation] Towards (de) constructing 4D Yang-Mills theory2007

    • Author(s)
      福間 将文
    • Organizer
      基研研究会「弦理論と場の理論-量子と時空の最前線」
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-08-10
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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