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2012 Fiscal Year Final Research Report

Non-relativistic limits in gauge/gravity correspondence

Research Project

  • PDF
Project/Area Number 22740160
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

YOSHIDA Kentaroh  京都大学, 理学研究科, 助教 (30544928)

Project Period (FY) 2010 – 2012
Keywords素粒子(理論) / 超弦理論 / ゲージ・重力対応 / 可積分性 / シグマ模型 / 無限次元対称性 / 非相対論的極限
Research Abstract

The purpose of this research project is to study non-relativistic limits in gauge/gravity correspondence. We first studied the integrable structure of string theory defined on the space-times that are holographically dual to non-relativistic systems and obtained a deep understanding. In particular, we constructed the generators of quantum affine algebras and revealed the relation to Yangian algebras. We also studied non-relativistic conformal symmetry with infinite-dimensional extension and supersymmetrization.

  • Research Products

    (18 results)

All 2013 2012 2011 2010 Other

All Journal Article (10 results) (of which Peer Reviewed: 8 results) Presentation (7 results) Remarks (1 results)

  • [Journal Article] Exotic symmetry in Schrodinger sigma models2013

    • Author(s)
      川口維男、吉田健太郎
    • Journal Title

      Journal of High Energy Physics

      Volume: 2巻 Pages: 024、27

    • DOI

      DOI:10.1007/JHEP02(2013)024

    • Peer Reviewed
  • [Journal Article] Supersymmetric extensions of nonrelativistic scaling algebras2012

    • Author(s)
      阪口真、吉田健太郎
    • Journal Title

      Symmetry

      Volume: 4巻 Pages: 517-536

    • DOI

      DOI:10.3390/sym4030517

  • [Journal Article] On the classical equivalence of Monodromymatrices in squashed sigma model2012

    • Author(s)
      川口維男、松本拓也、吉田健太郎
    • Journal Title

      Journal of High Energy Physics

      Volume: 6巻 Pages: 082、26

    • DOI

      DOI:10.1007/JHEP06(2012)082

    • Peer Reviewed
  • [Journal Article] The classical origin of quantum affine algebra in squashed sigma models2012

    • Author(s)
      川口維男、松本拓也、吉田健太郎
    • Journal Title

      Journal of High Energy Physics

      Volume: 4巻 Pages: 115、21

    • DOI

      DOI:10.1007/JHEP04(2012)115

    • Peer Reviewed
  • [Journal Article] Classical integrability of Schrodinger sigma models and q-deformed Poincaresymmetry2011

    • Author(s)
      川口維男、吉田健太郎
    • Journal Title

      Journal of High Energy Physics

      Volume: 11巻 Pages: 094、17

    • DOI

      DOI:10.1007/JHEP11(2011)094

    • Peer Reviewed
  • [Journal Article] Super Yangian of superstring on AdS_5 x S^5 revisited2011

    • Author(s)
      初田真知子、吉田健太郎
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 15巻 Pages: 1485-1501

    • URL

      http://intlpress.com/site/pub/pages/journals/items/atmp/content/vols/0015/0005/00022858/index.html

  • [Journal Article] Hybrid classical integrability in squashed sigma models2011

    • Author(s)
      川口維男、吉田健太郎
    • Journal Title

      Physics Letters B

      Volume: 705巻 Pages: 251-254

    • DOI

      DOI:10.1016/j.physletb.2011.09.117

    • Peer Reviewed
  • [Journal Article] Yangian symmetry in deformed WZNW models on squashed spheres2011

    • Author(s)
      川口維男、Domenico Orlando、吉田健太郎
    • Journal Title

      Physics Letters B

      Volume: 701巻 Pages: 475-480

    • DOI

      DOI:10.1016/j.physletb.2011.06.007

    • Peer Reviewed
  • [Journal Article] Semiclassical analysis of M2-brane in AdS_4 x S^7/Z_k2010

    • Author(s)
      阪口真、Hyeonjoon Shin、吉田健太郎
    • Journal Title

      Journal of High Energy Physics

      Volume: 12巻 Pages: 012、24

    • DOI

      DOI:10.1007/JHEP12(2010)012

    • Peer Reviewed
  • [Journal Article] Hidden Yangian symmetry in sigma model on squashed sphere2010

    • Author(s)
      川口維男、吉田健太郎
    • Journal Title

      Journal of High Energy Physics

      Volume: 11巻 Pages: 032、11

    • DOI

      DOI:10.1007/JHEP11(2010)032

    • Peer Reviewed
  • [Presentation] Exotic symmetry in Schrodinger sigma models2013

    • Author(s)
      吉田健太郎
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-28
  • [Presentation] Dynamical Lifshitzspacetimes and aging phenomena2013

    • Author(s)
      吉田健太郎
    • Organizer
      日露共同研究ミニワークショップ
    • Place of Presentation
      ホテルヴィアーレ大阪
    • Year and Date
      2013-03-25
  • [Presentation] Hybrid integrablestructure of squashed sigma models2012

    • Author(s)
      吉田健太郎
    • Organizer
      国際会議「Integrabilty in gauge and string theory」
    • Place of Presentation
      ETH、チューリッヒ、スイス
    • Year and Date
      2012-08-24
  • [Presentation] Hybrid integrable structure of deformed sigma models2012

    • Author(s)
      吉田健太郎
    • Organizer
      日露共同研究ワークショップ
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2012-03-30
  • [Presentation] Hybrid classicalintegrability in squashed sigmamodels2011

    • Author(s)
      吉田健太郎
    • Organizer
      国際研究会the JSPS/RFBR collaboration workshop
    • Place of Presentation
      Higher School of Economics、モスクワ、ロシア
    • Year and Date
      2011-09-13
  • [Presentation] Yangian symmetry indeformed WZNW models on squashed spheres2011

    • Author(s)
      吉田健太郎
    • Organizer
      第2回静岡集中セミナー
    • Place of Presentation
      静岡大学
    • Year and Date
      2011-06-24
  • [Presentation] Hidden Yangian symmetry in sigma model on squashed sphere2010

    • Author(s)
      吉田健太郎
    • Organizer
      第4回日露ワーキングセミナー
    • Place of Presentation
      大阪駅前第2ビル6階文化交流センター 大セミナー室
    • Year and Date
      2010-11-30
  • [Remarks] 原子核三者若手夏の学校開催期間:2012年8月2日~8月7日場所:ホテルエバーグリーン富士、山梨弦理論パート講師 吉田 健太郎「ゲージ理論と重力理論の双対性」発表日:8月2日、3日

URL: 

Published: 2014-08-29  

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