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Study of the holographic principle in gravity theory and the constructive definition of string theory

Research Project

Project/Area Number 15540269
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, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 (10252529)

Project Period (FY) 2003 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsquantum gravity / superstring theory / holographic principle / noncommutative spacetime / cosmic microwave background / noncritical strings / nonperturbative effects / string field theory / 超対称性 / 行列模型 / ブラックホール / エントロピー / くりこみ群 / ゲージ理論 / ループ方程式 / ビッグバン / ワイル・アノマリー / 非可換幾何 / 2次元重力 / ホログラフィー的くりこみ群 / インフレーション
Research Abstract

[Holographic Renormalization Group] We studied the holographic renormalization group for field theories in generic spacetime dimensions, and showed that the systems still enjoy the holographic principle when higher-order corrections coming from string theory are taken into account. We explicitly solved the Hamilton-Jacobi equations of higher-derivative gravity theory, and showed that there appear new multi-critical points in the renormalization group flows.
[Holographic principle and entropy bound in two-dimensional gravity] It had not been clear how to define the holographic principle for two-dimensional gravity systems. We pointed out that the principle can be naturally introduced by correctly taking account of the Weyl anomaly of matter fields. We further showed that the entropy bound also exists even in two dimensions.
[Noncommutative spacetime and the CMB] We introduced a spacetime noncommutativity in the very early universe by setting a holographic cutoff on the infraton field. We … More pointed out that such cutoff generically suppresses the angular power spectrum of the cosmic microwave background (CMB) at large angular scales, which could explain the large-scale damping actually observed in the CMB data.
[Cyclic universe] We showed that the picture of cyclic universe is naturally obtained if we assume that there exists an upper bound of Planck energy scale not only on the temperature but also on the curvature in the very early universe.
[Noncritical string field theory] We developed the field theory of noncritical strings which was first given by Fukuma and Yahikozawa in 1996. We established the calculational methods to obtain loop amplitudes and nonperturbative effects of minimal noncritical string theory. We further established the correspondence between the physical observables in the string field theory and those in Liouville field theory. We also clarify the algebraic-geometrical meaning of loop amplitudes.
[Noncritical superstring field theory] We extended the above-mentioned noncritical string field theory in such a way that there exits a worldsheet supersymmetry. We further showed that the two-component KP hierarchy is the underlying integrable structure of the system, which enables us to calculate many physical quantities analytically. The obtained results were shown to completely agree with those obtained in super-Liouville field theory. Less

Report

(5 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (24 results)

All 2007 2006 2005 2004 2003 Other

All Journal Article (20 results) Publications (4 results)

  • [Journal Article] A string field theoretical description of (p, q) minimal superstrings2007

    • Author(s)
      M.Fukuma, H.Irie
    • Journal Title

      Journal of High Energy Physics 0701

      Pages: 37-37

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories2007

    • Author(s)
      M.Fukuma, H.Irie
    • Journal Title

      Journal of High Energy Physics 0703

      Pages: 101-101

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A string field theoretical description of (p, q) minimal superstrings2007

    • Author(s)
      M.Fukuma, H.Irie
    • Journal Title

      Journal of High Energy Physics 701

      Pages: 37-37

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories2007

    • Author(s)
      M.Fukuma, H.Irie
    • Journal Title

      Journal of High Energy Physics 703

      Pages: 101-101

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Notes on the algebraic curves in (p, q) minimal string theory2006

    • Author(s)
      M.Fukuma, H.Irie, Y.Matsuo
    • Journal Title

      Journal of High Energy Physics 0609

      Pages: 75-75

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Notes on the algebraic curves in (p, q) minimal string theory2006

    • Author(s)
      M.Fukuma, H.Irie, Y.Matsuo
    • Journal Title

      Journal of High Energy Physics 609

      Pages: 75-75

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Comments on the D-instanton calculus in (p,p+l) minimal string theory2005

    • Author(s)
      M.Fukuma, H.Irie, S.Seki
    • Journal Title

      Nuclear Physics B 728

      Pages: 67-67

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Comments on the D-instanton calculus in (p, p+1) minimal string theory2005

    • Author(s)
      M.Fukuma, H.Irie, S.Seki
    • Journal Title

      Nuclear Physics B 728

      Pages: 67-67

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Comments on the D-instanton calculus in (p,p+1) minimal stringy theory2005

    • Author(s)
      Masafumi Fukuma
    • Journal Title

      Nuclear Physics B 728

      Pages: 67-82

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Effects of space-time noncommutativity on the angular power spectrum of the CMB2004

    • Author(s)
      M.Fukuma, Y.Kono, A.Miwa
    • Journal Title

      Nuclear Physics B 682

      Pages: 377-377

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Limiting temperature, limiting curvature and the cyclic universe2004

    • Author(s)
      M.Fukuma, H.Kawai, M.Ninomiya
    • Journal Title

      International Journal of Modern Physics A 19

      Pages: 4367-4367

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A mechanism of the large-scale damping in the CMB anisotropy2004

    • Author(s)
      M.Fukuma, Y.Kono, A.Miwa
    • Journal Title

      Nuclear Physics B 703

      Pages: 293-293

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A mechanism of the large-scale damping in the CMB anisotropy2004

    • Author(s)
      Masafumi Fukuma, Yuji Kono, Akitsugu Miwa
    • Journal Title

      Nuclear Physics B 703

      Pages: 293-319

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Limiting temperature, limiting curvature and the cyclic universe2004

    • Author(s)
      Masafumi Fukuma, Hikaru Kawai, Masao Ninomiya
    • Journal Title

      International Journal of Modern Physics A 19

      Pages: 4367-4386

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Effects of space-time noncomnutativity on the angular power spectrum of the CMB2004

    • Author(s)
      Masafumi Fukuma, Yuji Konoa, Akitsugu Miwa
    • Journal Title

      Nuclear Physics B 682

      Pages: 377-390

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Holographic renormalization group2003

    • Author(s)
      M.Fukuma, S.Matsuura, T.Sakai
    • Journal Title

      Progress of Theoretical Physics (invited paper) 109

      Pages: 489-489

    • NAID

      110002077718

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Holographic entropy bound in two-dimensional gravity2003

    • Author(s)
      M.Fukuma, A.Miwa, K.Takahashi
    • Journal Title

      Progress of Theoretical Physics 110

      Pages: 115-115

    • NAID

      110001196081

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Holographic renormalization group2003

    • Author(s)
      M.Fukuma, S.Matsuura, T.Sakai
    • Journal Title

      Progress of Theoretical Physics 109(invited paper)

      Pages: 489-489

    • NAID

      110002077718

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Holographic entropy bound in two-dimensional gravity2003

    • Author(s)
      Masafumi Fukuma, Akitsugu Miwa, Kazuyoshi Takahashi
    • Journal Title

      Progress of Theoretical Physics 110

      Pages: 115-125

    • NAID

      110001196081

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Holographic Renormalization Group2003

    • Author(s)
      Masafumi Fukuma, So Matsuura, Tadakatsu Sakai
    • Journal Title

      Progress of Theoretical Physics 109

      Pages: 489-562

    • NAID

      110002077718

    • Related Report
      2004 Annual Research Report
  • [Publications] Masafumi Fukuma, So Matsuura, Tadakatsu Sakai: "Holographic Renormalization Group"Progress of Theoretical Physics. 109. 489-562 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Masafumi Fukuma, Akitsugu Miwa, Kazuyoshi Takahashi: "Holographic Entropy Bound in Two-dimensional Gravity"Progress of Theoretical Physics. 110. 115-125 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Masafumi Fukuma, Yuji Kono, Akitsugu Miwa: "Effects of Space-time Noncommutativity on the Angular Power Spectrum of the CMB"Nuclear Physics B. 682. 377-390 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Masafumi Fukuma, Yuji Kono, Akitsugu Miwa: "Noncommutative Inflation and the Large-scale Damping in the CMB Anisotropy"Proceedings of the 3^<rd> International Symposium on Quantum Theory and Symmetries (QTS3), Cincinnati, 10-14 Sep, 2003.

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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