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STUDY ON DUALITY BETWEEN OPEN-AND CLOSED-STRINGS

Research Project

Project/Area Number 15540273
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 InstitutionOsaka University

Principal Investigator

NAKATSU Toshio  Osaka University, Graduate School of Science, Assistant professor, 大学院理学研究科, 助手 (10281502)

Project Period (FY) 2003 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2005: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsSuperstrings / Supersymmetry / Duality / Gauge / gravity correspondence / Integrable system / Random plane partition / Amoeba / Tropical geometry / 超弦理論 / ゲージ理論 / 重力理論 / 統計模型 / 厳密解 / 離散化 / カラビ・ヤオ多様体 / 超対称gauge理論 / Gauge / 3次元統計模型 / Calabi-Yau多様体 / 非可換時空 / 超弦 / gravity対応 / Instanton moduli / Seiberg-Witten厳密解 / 開弦 / 閉弦 / Boundary state / BRST演算子 / Wilson loop / Gauge-gravity対応 / 弦の境界場理論
Research Abstract

(i)We exploit the boundary state formalism to investigate duality between open-and closed-strings in superstring theory. By using the off-shell interactions of open-and closed-strings developed in our for- malism, we show that in the background of non-vanishing NS-NS two-form field, the masssive modes of closed-string emerge as the Wilson lines in non-commutative gauge theories on D-branes. (ii)In superstring compactifications, local Calabi-Yau geometries are related with thermodynamic quantities of certain statistical models. We study random plane partitions relevant to describe Nekrasov's par- tition functions of five-dimensional supersymmetric gauge theories, from both the gauge theory and gravity viewpoints. After taking a natural scaling, the thermodynamic limit corresponds to a classical limit with respect to g_<st>. We show that classical objects called the limit shapes of plane partition govern the systems. In particular, the limit shapes at zero temperature are equivalent to the local geometries while at finite temperature, they describe a quantum deformation of the local geometries.

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

    (18 results)

All 2007 2006 2005 2003 Other

All Journal Article (16 results) Publications (2 results)

  • [Journal Article] AmoeBas and Instantons2007

    • Author(s)
      T.Maeda
    • Journal Title

      International Journal of Modern Physics A22

      Pages: 937-984

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Amoebas and Instantons,2007

    • Author(s)
      T.Maeda, T.Nakatsu
    • Journal Title

      International Journal of Modern Physics Volume A22

      Pages: 937-984

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Graritational Quantum Foart and SUSY gauqe Theories2006

    • Author(s)
      T.Maeda
    • Journal Title

      Nuclear Physics B735

      Pages: 96-126

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Gravitational Quantum Foam and Supersymmetric Gauge Theories,2006

    • Author(s)
      T.Maeda, T.Nakatsu, Y.Noma, T.Tamakoshi
    • Journal Title

      Nuclear Physics Volume B735

      Pages: 96-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Gravitational Quantum Foam and Supersymmetric Gauge Theories2006

    • Author(s)
      T.Nakatsu(共著)
    • Journal Title

      Nuclear Physics B 735

      Pages: 96-126

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Gravitational Quantum Foam and Supersymmetric Gauge Theories2006

    • Author(s)
      前田 高志
    • Journal Title

      Nucl.Phys. B735

      Pages: 96-96

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 5d Supersymmetric Yang-Mills Theories and RPP2005

    • Author(s)
      T.Maeda
    • Journal Title

      Journal of High Energy Physics 03

      Pages: 56-56

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Free Fermien and SeiPerg-Witten differential in RPP2005

    • Author(s)
      T.Maeda
    • Journal Title

      Nuclear Physics B715

      Pages: 273-303

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 5d Supersymmetric Yang-Mills Theories and Random Plane Partitions,2005

    • Author(s)
      T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
    • Journal Title

      Journal of High Energy Physics Volume 03

      Pages: 56-56

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Free Fermion and Seiberg-Witten Differential in Random Plane Partitions,2005

    • Author(s)
      T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
    • Journal Title

      Nuclear Physics Volume B715

      Pages: 275-303

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Five-Dimensional Supersymmetric Yang-Mills Theories and Random Plane Partitions2005

    • Author(s)
      前田 高志
    • Journal Title

      JHEP 03

      Pages: 56-56

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Free Fermion and Seiberg-Witten Differential in Random Plane Partitions2005

    • Author(s)
      前田 高志
    • Journal Title

      Nucl.Phys. B715

      Pages: 275-275

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Open Wilson Lines as States of Closed String2003

    • Author(s)
      K.Murakami
    • Journal Title

      Progress of Theoretical Physics 110

      Pages: 285-384

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Open Wilson Lines as States of Closed String,2003

    • Author(s)
      K.Murakami, T.Nakatsu
    • Journal Title

      Progress of Theoretical Physics Volume 110

      Pages: 285-384

    • NAID

      110001196093

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Amoebas and Instantons

    • Author(s)
      T.Nakatsu(共著)
    • Journal Title

      Inter. Jour. Mod. Phys. A (in press)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Free Fermion and Seiberg-Witten Differential in Random Plane Partitions

    • Author(s)
      T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
    • Journal Title

      Nuclear Physics (to appear)

    • Related Report
      2004 Annual Research Report
  • [Publications] K.Murakami, T.Nakatsu: "Open Wilson Lines as States of Closed String"Prog.Theor.Phys.. 110. 285-384 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Maeda et al.: "Non-Linear Field Equation from Boundary State Formalism"hep-th10312260. (to be published).

    • Related Report
      2003 Annual Research Report

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

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