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2011 Fiscal Year Final Research Report

Study of gauge/string duality based on integrability

Research Project

  • PDF
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
Keywords素粒子論 / 弦理論 / ゲージ理論 / 数理物理 / 可解模型
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.

  • Research Products

    (14 results)

All 2012 2011 2010 2009 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (7 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 Pages: 003

    • DOI

      DOI:10.1007/JHEP02(2012)003

    • 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 Pages: 100

    • DOI

      DOI:10.1007/JHEP04(2011)100

    • 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 Pages: 064

    • DOI

      DOI:10.1007/JHEP09(2010)064

    • 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 Pages: 108

    • DOI

      DOI:10.1007/JHEP04(2010)108

    • 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 Pages: 077

    • DOI

      DOI:10.1007/JHEP03(2010)077

    • 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 Pages: 001

    • DOI

      DOI:10.1088/1126-6708/2009/10/001

    • 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 Model
    • Place of Presentation
      Bologna University, Bologna, Italy
    • Year and Date
      20110912-15
  • [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
    • Year and Date
      20110622-24
  • [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
    • Year and Date
      20110105-06
  • [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
    • Year and Date
      20100911-14
  • [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
    • Year and Date
      20100911-14
  • [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
    • Year and Date
      20100911-14
  • [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
    • Year and Date
      20100614-16
  • [Remarks]

    • URL

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

URL: 

Published: 2014-08-29  

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