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Integrability in gauge-gravity correspondence and gluon scattering amplitudes

Research Project

Project/Area Number 22740172
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionRitsumeikan University (2013)
Kyoto University (2011-2012)
Keio University (2010)

Principal Investigator

SAKAI Kazuhiro  立命館大学, 理工学部, 助教 (10439242)

Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords素粒子(理論) / 弦理論 / 可積分系 / 数理物理学 / ゲージ重力対応 / ゲージ理論 / 素粒子
Research Abstract

Integrability has become of increasing importance in obtaining analytic, exact results in gauge and string theories. In this research project we clarified several integrable structures in gauge and string theories and made full use of them to obtain analytic results. More specifically, we studied gluon scattering amplitudes at strong coupling in the maximally supersymmetric gauge theory in four dimensions. The gauge-gravity correspondence relates the amplitudes to the areas of certain minimal surfaces. Based on this correspondence we formulated a method of computing a general class of gluon scattering amplitudes by means of two-dimensional conformal field theories. We also studied the E-string theory, which is one of the simplest consistent supersymmetric field theories in six dimensions. We constructed a closed expression for the BPS partition function of the E-string theory toroidally compactified down to four dimensions and elucidated its properties.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (45 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (35 results) (of which Invited: 5 results)

  • [Journal Article] Thermodynamic limit of the Nekrasov-type formula for E-string theory2014

    • Author(s)
      Takenori Ishii and Kazuhiro Sakai
    • Journal Title

      Journal of High Energy Physics

      Volume: 02, 087 Issue: 2 Pages: 0-17

    • DOI

      10.1007/jhep02(2014)087

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Integrability of BPS equations in ABJM theory2013

    • Author(s)
      Kazuhiro Sakai and Seiji Terashima
    • Journal Title

      Journal of High Energy Physics

      Volume: 11, 002 Issue: 11 Pages: 0-20

    • DOI

      10.1007/jhep11(2013)002

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Counting BPS states in E-string theory2013

    • Author(s)
      Kazuhiro Sakai
    • Journal Title

      International Journal of Modern Physics : Conference Series

      Volume: 21 Pages: 116-125

    • DOI

      10.1142/s201019451300946x

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Seiberg-Witten prepotential for E-string theory and global symmetries2012

    • Author(s)
      Kazuhiro Sakai
    • Journal Title

      Journal of High Energy Physics

      Volume: 09, 077 Issue: 9 Pages: 0-19

    • DOI

      10.1007/jhep09(2012)077

    • NAID

      120004873909

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Seiberg-Witten prepotential for E-string theory and random partitions2012

    • Author(s)
      Kazuhiro Sakai
    • Journal Title

      Journal of High Energy Physics

      Volume: 06, 027 Issue: 6 Pages: 0-12

    • DOI

      10.1007/jhep06(2012)027

    • NAID

      120004873599

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] g-functions and gluon scattering amplitudes at strong coupling2011

    • Author(s)
      Yasuyuki Hatsuda, Katsushi Ito, Kazuhiro Sakai and Yuji Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: 1104 Issue: 4 Pages: 100-100

    • DOI

      10.1007/jhep04(2011)100

    • NAID

      120007137440

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Six-point gluon scattering amplitudes from Z_4-symmetric integrable model2010

    • Author(s)
      Yasuyuki Hatsuda, Katsushi Ito, Kazuhiro Sakai and Yuji Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: 1009 Issue: 9 Pages: 64-64

    • DOI

      10.1007/jhep09(2010)064

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_32010

    • Author(s)
      Yasuyuki Hatsuda, Katsushi Ito, Kazuhiro Sakai and Yuji Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: 1004 Issue: 4 Pages: 108-108

    • DOI

      10.1007/jhep04(2010)108

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_32010

    • Author(s)
      Yasuyuki Hatsuda, et al.
    • Journal Title

      Journal of High Energy Physics

      Volume: 1004:108 Pages: 0-23

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Six-point gluon scattering amplitudes from Z_4-symmetric integrable model2010

    • Author(s)
      Yasuyuki Hatsuda, et al.
    • Journal Title

      Journal of High Energy Physics

      Volume: 1009:064 Pages: 0-25

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Integrability of BPS equations in ABJM theory2014

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Workshop "Progress in the synthesis of integrabilities arising from gauge-string duality (JSPS/RFBR collaboration),"
    • Place of Presentation
      KKRホテルびわこ/立命館大学(滋賀県)
    • Year and Date
      2014-03-07
    • Related Report
      2013 Final Research Report
  • [Presentation] Integrability of BPS equations in ABJM theory2014

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Conference"Integrability, Symmetry and Quantum Space-Time"
    • Place of Presentation
      京都大学基礎物理学研究所(京都府)
    • Year and Date
      2014-01-07
    • Related Report
      2013 Final Research Report
  • [Presentation] ABJM 理論におけるBPS方程式の可積分性2013

    • Author(s)
      酒井 一博
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      高知大学(高知県)
    • Year and Date
      2013-09-22
    • Related Report
      2013 Final Research Report
  • [Presentation] Integrability of BPS equations in ABJM theory2013

    • Author(s)
      酒井 一博
    • Organizer
      第10回日露共同研究 working seminar
    • Place of Presentation
      大阪市立大学文化交流センター(大阪府)
    • Year and Date
      2013-06-05
    • Related Report
      2013 Final Research Report
  • [Presentation] E 弦理論と Nekrasov 型公式(第7回中村誠太郎賞受賞講演)2013

    • Author(s)
      酒井 一博
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学(広島県)
    • Year and Date
      2013-03-26
    • Related Report
      2013 Final Research Report
  • [Presentation] BPS states and integrability2013

    • Author(s)
      酒井 一博
    • Organizer
      日露共同研究ミニワークショップ
    • Place of Presentation
      ホテル VIARE 大阪/大阪科学技術センター(大阪府)
    • Year and Date
      2013-03-24
    • Related Report
      2013 Final Research Report
  • [Presentation] E 弦理論と Nekrasov 型公式2013

    • Author(s)
      酒井 一博
    • Organizer
      研究集会 「場の数理とトポロジー」
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2013-02-07
    • Related Report
      2013 Final Research Report
  • [Presentation] Counting BPS states in E-string theory (informal seminar)2012

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      YIPQS long-term workshop "Gauge/Gravity Duality"
    • Place of Presentation
      京都大学基礎物理学研究所(京都府)
    • Year and Date
      2012-10-01
    • Related Report
      2013 Final Research Report
  • [Presentation] Counting BPS states in E-string theory2012

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Conference "Synthesis of integrabilities in the context of gauge/string duality"
    • Place of Presentation
      Steklov Mathematical Institute/State University - Higher School of Economics, Moscow (Russia)
    • Year and Date
      2012-09-21
    • Related Report
      2013 Final Research Report
  • [Presentation] E 弦理論における BPS 状態の数え上げ2012

    • Author(s)
      酒井 一博
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      京都産業大学(京都府)
    • Year and Date
      2012-09-13
    • Related Report
      2013 Final Research Report
  • [Presentation] E弦理論のSeiberg-Witten解とNekrasov型公式2012

    • Author(s)
      酒井 一博
    • Organizer
      基研研究会 「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所(京都府)
    • Year and Date
      2012-07-26
    • Related Report
      2013 Final Research Report
  • [Presentation] Counting BPS states in E-string theory2012

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Conference "Progress in Quantum Field Theory and String Theory"
    • Place of Presentation
      大阪市立大学(大阪府)
    • Year and Date
      2012-04-06
    • Related Report
      2013 Final Research Report
  • [Presentation] 位相的弦理論と保型性 - Seiberg - Witten 曲線, 有理楕円曲面, Jacobi 形式 - (無限可積分系分科会特別講演)2012

    • Author(s)
      酒井 一博
    • Organizer
      日本数学会2012年度年会
    • Place of Presentation
      東京理科大学(東京都)
    • Year and Date
      2012-03-29
    • Related Report
      2013 Final Research Report
  • [Presentation] 位相的弦理論と保型性-Seiberg-Witten曲線,有理楕円曲面,Jacobi形式-2012

    • Author(s)
      酒井一博
    • Organizer
      日本数学会2012年度年会
    • Place of Presentation
      東京理科大学(招待講演)
    • Year and Date
      2012-03-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Conformal perturbation theory for gluon scattering amplitudes2011

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Institut d'Eté de Physique et Mathé matique "Double Affine Hecke Algebras, the Langlands Program, Conformal Field Theory, Super Yang-Mills Theory"
    • Place of Presentation
      Cargèse (France)
    • Year and Date
      2011-07-15
    • Related Report
      2013 Final Research Report
  • [Presentation] Conformal perturbation theory for gluon scattering amplitudes2011

    • Author(s)
      酒井一博
    • Organizer
      Institut d'Ete de Physique et Mathematique
    • Place of Presentation
      Cargese(フランス)(招待講演)
    • Year and Date
      2011-07-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 2次元CFTを用いた4次元グルーオン散乱振幅の解析2011

    • Author(s)
      酒井一博
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学
    • Year and Date
      2011-03-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 集中講義 : 量子可積分系の基礎2011

    • Author(s)
      酒井 一博
    • Organizer
      東京工業大学・茨城大学素粒子論研究室合同研究会2011
    • Place of Presentation
      草津セミナーハウス (群馬県)
    • Related Report
      2013 Final Research Report
  • [Presentation] 集中講義:量子可積分系の基礎2011

    • Author(s)
      酒井一博
    • Organizer
      東京工業大学・茨城大学素粒子論研究室合同研究会2011
    • Place of Presentation
      草津セミナーハウス(群馬県)(招待講演)
    • Related Report
      2011 Annual Research Report
  • [Presentation] AdS_3 時空における有限ギャップ型開弦解2010

    • Author(s)
      酒井 一博
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学(福岡県)
    • Year and Date
      2010-09-13
    • Related Report
      2013 Final Research Report
  • [Presentation] AdS_3時空における有限ギャップ型開弦解2010

    • Author(s)
      酒井一博
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Solving thermodynamic Bethe ansatz equations for gluon scattering amplitudes2010

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Synthesis of integrabilities in the context of gauge/string duality
    • Place of Presentation
      Steklov Mathematical Institute/State University - Higher School of Economics, Moscow(Russia)
    • Related Report
      2013 Final Research Report
  • [Presentation] Solving thermodynamic Bethe ansatz equations for gluon scattering amplitudes2010

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Synthesis of integrabilities in the context of gauge/string duality
    • Place of Presentation
      Steklov Mathematical Institute and State Univ., Moscow
    • Related Report
      2010 Annual Research Report
  • [Presentation] Integrability of BPS equations in ABJM theory

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Workshop “Progress in the synthesis of integrabilities arising from gauge-string duality (JSPS/RFBR collaboration)”
    • Place of Presentation
      KKRホテルびわこ/立命館大学、滋賀県
    • Related Report
      2013 Annual Research Report
  • [Presentation] Integrability of BPS equations in ABJM theory

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Conference “Integrability, Symmetry and Quantum Space-Time”
    • Place of Presentation
      京都大学基礎物理学研究所、京都府
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] ABJM理論におけるBPS方程式の可積分性

    • Author(s)
      酒井一博
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      高知大学、高知県
    • Related Report
      2013 Annual Research Report
  • [Presentation] Integrability of BPS equations in ABJM theory

    • Author(s)
      酒井一博
    • Organizer
      第10回日露共同研究working seminar
    • Place of Presentation
      大阪市立大学文化交流センター、大阪府
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Counting BPS states in E-string theory

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Conference ``Progress in Quantum Field Theory and String Theory''
    • Place of Presentation
      大阪市立大学、大阪府
    • Related Report
      2012 Annual Research Report
  • [Presentation] E弦理論のSeiberg-Witten解とNekrasov型公式

    • Author(s)
      酒井 一博
    • Organizer
      基研研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所、京都府
    • Related Report
      2012 Annual Research Report
  • [Presentation] E弦理論におけるBPS状態の数え上げ

    • Author(s)
      酒井 一博
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      京都産業大学、京都府
    • Related Report
      2012 Annual Research Report
  • [Presentation] Counting BPS states in E-string theory

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      Conference ``Synthesis of integrabilities in the context of gauge/string duality''
    • Place of Presentation
      Steklov Mathematical Institute / State University-HSE, Moscow, Russia
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Counting BPS states in E-string theory (informal seminar)

    • Author(s)
      Kazuhiro Sakai
    • Organizer
      YIPQS long-term workshop ``Gauge/Gravity Duality''
    • Place of Presentation
      京都大学基礎物理学研究所、京都府
    • Related Report
      2012 Annual Research Report
  • [Presentation] E弦理論とNekrasov型公式

    • Author(s)
      酒井 一博
    • Organizer
      研究集会「場の数理とトポロジー」
    • Place of Presentation
      信州大学、長野県
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] BPS states and integrability

    • Author(s)
      酒井 一博
    • Organizer
      日露共同研究ミニワークショップ
    • Place of Presentation
      ホテルVIARE大阪/大阪科学技術センター、大阪府
    • Related Report
      2012 Annual Research Report
  • [Presentation] E弦理論とNekrasov型公式(第7回中村誠太郎賞受賞講演)

    • Author(s)
      酒井 一博
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学、広島県
    • Related Report
      2012 Annual Research Report
    • Invited

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Published: 2010-08-23   Modified: 2019-07-29  

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