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Confirmation of integrability in gauge-gravity correspondence

Research Project

Project/Area Number 20740142
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKeio University

Principal Investigator

SAKAI Kazihiro  Keio University, 経済学部, 助教 (10439242)

Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords素粒子(理論) / 数理物理学 / 弦理論 / 可積分系 / AdS / CFT / 対応 / 素粒子 / CFT対応 / 素粒子論 / 共形場理論 / エンタングルメント
Research Abstract

Gauge-gravity correspondence claims the equivalence between the gauge theory describing fundamental interactions of the elementary particles and the theory of gravity (string theory) in the background which includes a spacetime with negative constant curvature. Along the study of both theories with the help of this correspondence, there has recently been made rapid progress in making use of integrability emerged in the system. In the present research program we have investigated the application of the integrability to gluon scattering amplitudes/classical open string solutions, to examine to what extent one can make use of the power of integrability. In particular, we have established a general framework of constructing open string solutions in the AdS_3 subspace.

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (11 results)

All 2010 2009 2008

All Journal Article (8 results) (of which Peer Reviewed: 3 results) Presentation (3 results)

  • [Journal Article] Constant mean curvature surfaces in AdS_32010

    • Author(s)
      Kazuhiro Sakai, Yuji Satoh
    • Journal Title

      Journal of High Energy Physics 1003:077

      Pages: 0-18

    • Related Report
      2009 Annual Research Report 2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A note on string solutions in AdS_32009

    • Author(s)
      Kazuhiro Sakai, Yuji Satoh
    • Journal Title

      Journal of High Energy Physics 0910:001

      Pages: 0-18

    • Related Report
      2009 Annual Research Report 2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 可積分性と弦理論2009

    • Author(s)
      酒井一博
    • Journal Title

      数理科学 557

      Pages: 47-52

    • Related Report
      2009 Final Research Report
  • [Journal Article] 可積分系と弦理論2009

    • Author(s)
      酒井一博
    • Journal Title

      数理科学 557

      Pages: 47-52

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Entanglement through conformal interfaces2008

    • Author(s)
      Kazuhiro Sakai, Yuji Satoh
    • Journal Title

      ournal of High Energy Physics 0812:001

      Pages: 0-13

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 解説:ゲージ理論・弦理論対応と可積分模型2008

    • Author(s)
      酒井一博
    • Journal Title

      日本物理学会誌 63巻7号

      Pages: 524-531

    • Related Report
      2009 Final Research Report
  • [Journal Article] Entanglement through conformal interfaces2008

    • Author(s)
      Kazuhiro Sakai and Yuji Satoh
    • Journal Title

      Journal of High Energy Physics 0812 : 001

      Pages: 0-13

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 解説 : ゲージ理論・弦理論対応と可積分模型2008

    • Author(s)
      酒井一博
    • Journal Title

      日本物理学会誌 63巻第7号

      Pages: 524-531

    • Related Report
      2008 Annual Research Report
  • [Presentation] Thermodynamic Bethe ansatz equations for minimal surfaces in AdS_32010

    • Author(s)
      酒井一博
    • Organizer
      国際研究会"Recent Advances in Gauge Theories and CFTs, "
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2010-03-01
    • Related Report
      2009 Final Research Report
  • [Presentation] Thermodynamic Bethe ansatz equations for minimal surfaces in AdS_32010

    • Author(s)
      酒井一博
    • Organizer
      Recent Advances in Gauge Theories and CFTs
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2010-03-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] AdS/CFT対応における一般解の構成2009

    • Author(s)
      酒井一博
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2009 Final Research Report 2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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