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Study of gauge/string duality based on integrability

Research Project

Project/Area Number 21740158
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionUniversity of Tsukuba

Principal Investigator

SATOH Yuji  筑波大学, 数理物質系, 助教 (50312799)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords素粒子論 / 弦理論 / ゲージ理論 / 数理物理 / 可解模型 / 超対称性 / ゲージ理論/重力理論双対性 / 共形場理論 / 熱力学的ベーテ仮説
Research Abstract

The gauge/string duality states that certain gauge theories and theories of string/gravity are just different descriptions of the same theories. We studied this duality based on the integrability behind it. Especially, we found that gluon scattering amplitudes of a supersymmetric gauge theory at strong coupling are obtained through thermodynamic Bethe ansatz equations of a class of two-dimensional integrable models called Homogenous sine-Gordon models, which give finite size effects of two-dimensional integrable models. Based on this fact, we also showed that the amplitudes are analytically evaluated around certain momentum configurations by the two-dimensional conformal perturbation theory.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (34 results)

All 2012 2011 2010 2009 Other

All Journal Article (16 results) (of which Peer Reviewed: 16 results) Presentation (17 results) Remarks (1 results)

  • [Journal Article] T-functions and multi-gluon scattering amplitudes2012

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

      Journal of High Energy Physics

      Volume: 1202 Issue: 2 Pages: 3-3

    • DOI

      10.1007/jhep02(2012)003

    • NAID

      120007137254

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On supersymmetric interfaces for string theory2012

    • Author(s)
      Yuji Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: 1203 Issue: 3 Pages: 72-72

    • DOI

      10.1007/jhep03(2012)072

    • NAID

      120007137253

    • Related Report
      2011 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
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Gauge/string duality and thermodynamic Bethe ansatz equations2011

    • Author(s)
      Yuji Satoh
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B28 Pages: 171-192

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Gauge/string duality and thermodynamic Bethe ansatz equations2011

    • Author(s)
      Yuji Satoh
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] g-functions and gluon scattering amplitudes at strong coupling2011

    • Author(s)
      Y.Hatuda, K, Ito, K.Sakai, Y.Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: (印刷中)

    • NAID

      120007137440

    • 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, 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
      2011 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
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Constant mean curvature surfaces in AdS_32010

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

      Journal of High Energy Physics

      Volume: 1003 Issue: 3 Pages: 77-77

    • DOI

      10.1007/jhep03(2010)077

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Six-point gluon scattering amplitudes from Z_4 symmetric integrablemodel2010

    • Author(s)
      Y.Hatuda, K, Ito, K.Sakai, Y.Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: 1009

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermodynamic Bethe ansatz equations for minimal surfaces in AdS_32010

    • Author(s)
      Y.Hatuda, K, Ito, K.Sakai, Y.Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: 1004

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Constant mean curvature surfaces in AdS_32010

    • Author(s)
      K.Sakai, Y.Satoh
    • Journal Title

      Journal of High Energy Physics

      Volume: 1001

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Constant mean curvature surfaces in AdS_32010

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

      Journal of High Energy Physics 1003

      Pages: 77-77

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_32010

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

      Journal of High Energy Physics 1004

      Pages: 108-108

    • Related Report
      2009 Annual 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

      Volume: 0910 Issue: 10 Pages: 1-1

    • DOI

      10.1088/1126-6708/2009/10/001

    • Related Report
      2011 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

      Pages: 1-1

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Thermodynamic Bethe ansatz and analytic expansions of gluon scattering amplitudes at strong coupling2011

    • Author(s)
      Yuji Satoh
    • Organizer
      8^<th> Bologna workshop on CFT and integrable models
    • Place of Presentation
      Bologna University (Bologna, Italy)
    • Year and Date
      2011-09-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] g-functions and gluon scattering amplitudes at strong coupling2011

    • Author(s)
      Yuji Satoh
    • Organizer
      35^<th> Johns Hopkins workshop on AdS/CFT and its applications
    • Place of Presentation
      Eotvos University (Budapest, Hungary)
    • Year and Date
      2011-06-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] g-functions and gluon scattering amplitudes at strong coupling2011

    • Author(s)
      佐藤勇二
    • Organizer
      第6回日露ワーキングセミナー
    • Place of Presentation
      東京工業大学(東京都)(招待講演)
    • Year and Date
      2011-05-12
    • 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)
      初田泰之、伊藤克司、酒井一博、佐藤勇二
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学五十嵐キャンパス
    • Year and Date
      2011-03-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Gluon scattering amplitudes from gauge/string duality and integrability2011

    • Author(s)
      佐藤勇二
    • Organizer
      立教大学「場の理論、量子重力研究会」
    • Place of Presentation
      立教大学
    • Year and Date
      2011-01-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] Thermodynamic Bethe ansatz and analytic expansions of gluon scattering amplitudes at strong coupling2011

    • Author(s)
      Yuji Satoh
    • Organizer
      8-th Bologna Workshop on CFT and Integrable Model
    • Place of Presentation
      Bologna University, Bologna, Italy
    • Related Report
      2011 Final Research Report
  • [Presentation] g-functions and gluon scattering amplitudes at strong coupling2011

    • Author(s)
      Yuji Satoh
    • Organizer
      35th Johns Hopkins Workshop on AdS/CFT and its applications
    • Place of Presentation
      Eotvos University, Budapest, Hungary
    • Related Report
      2011 Final Research Report
  • [Presentation] Gluon scattering amplitudes from gauge/string duality and integrability2011

    • Author(s)
      Yuji Satoh
    • Organizer
      立教大学「場の理論、量子重力研究会」
    • Place of Presentation
      立教大学、東京
    • Related Report
      2011 Final Research Report
  • [Presentation] Six-point gluon scattering amplitudes from Z_4 symmetric integrable model2010

    • Author(s)
      初田泰之、伊藤克司、酒井一博、佐藤勇二
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Thermodynamic Bethe ansatz equations for minimal surfaces in AdS 32010

    • Author(s)
      初田泰之、伊藤克司、酒井一博、佐藤勇二
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] AdS_3時空における有限ギャップ開弦解2010

    • Author(s)
      酒井一博、佐藤勇二
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Gauge/string duality and thermodynamic Bethe ansatz equations2010

    • Author(s)
      佐藤勇二
    • Organizer
      RIMS研究集会「量子可積分系の展開」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-06-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] Entanglement through conformal interfaces2010

    • Author(s)
      Yuji Satoh
    • Organizer
      Condensed matter physics meets high energy physics
    • Place of Presentation
      東京大学
    • Year and Date
      2010-02-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] AdS3 時空における有限ギャップ型開弦解2010

    • Author(s)
      初田泰之, 伊藤克司, 酒井一博, 佐藤勇二
    • Organizer
      日本物理学会 2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス, 北九州
    • Related Report
      2011 Final Research Report
  • [Presentation] Thermodynamic Bethe ansatz equations for minimal surfaces in AdS_32010

    • Author(s)
      初田泰之, 伊藤克司, 酒井一博, 佐藤勇二
    • Organizer
      日本物理学会 2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス, 北九州
    • Related Report
      2011 Final Research Report
  • [Presentation] Six-point gluon scattering amplitudes from Z_4-symmetric integrable model2010

    • Author(s)
      初田泰之, 伊藤克司, 酒井一博, 佐藤勇二
    • Organizer
      日本物理学会 2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス, 北九州
    • Related Report
      2011 Final Research Report
  • [Presentation] Gauge/string duality and thermodynamic Bethe ansatz equations2010

    • Author(s)
      Yuji Satoh
    • Organizer
      京都大学数理解析研究所(RIMS)研究集会 ``Developments in Quantum Integrable Systems
    • Place of Presentation
      Kyoto Univ., Research Institute for Mathematical Sciences, Kyoto, Japan
    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www-het.ph.tsukuba.ac.jp/%7Eysatoh/index.html

    • Related Report
      2011 Final Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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