Non-relativistic limits in gauge/gravity correspondence

• Project/Area Number: 22740160
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kyoto University
• Principal Investigator: YOSHIDA Kentaroh 京都大学, 理学研究科, 助教 (30544928)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• 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 / 素粒子論 / 非相対論 / 加積分性

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

• [Journal Article] Exotic symmetry in Schrodinger sigma models (2013)
  • Author(s): 川口維男、吉田健太郎
  • Journal Title: Journal of High Energy Physics Volume: 2巻 Issue: 2 Pages: 024-27
  • DOI: 10.1007/jhep02(2013)024
  • Peer Reviewed
• [Journal Article] Supersymmetric extensions of nonrelativistic scaling algebras (2012)
  • Author(s): 阪口真、吉田健太郎
  • Journal Title: Symmetry Volume: 4巻 Issue: 3 Pages: 517-536
  • DOI: 10.3390/sym4030517
  • NAID: 120004873997
  • Peer Reviewed
• [Journal Article] On the classical equivalence of Monodromymatrices in squashed sigma model (2012)
  • 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 Issue: 6 Pages: 082-26
  • DOI: 10.1007/jhep06(2012)082
  • Peer Reviewed
• [Journal Article] The classical origin of quantum affine algebra in squashed sigma models (2012)
  • 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 Issue: 4 Pages: 115-21
  • DOI: 10.1007/jhep04(2012)115
  • NAID: 120004140512
  • Peer Reviewed
• [Journal Article] cal integrability of Schrodinger sigma models and q-deformed Poincare sy (2011)
  • Author(s): Io Kawaguchi, Kentaroh Yoshida
  • Journal Title: JHEP Volume: 1,111 Issue: 11 Pages: 94-111
  • DOI: 10.1007/jhep11(2011)094
  • Peer Reviewed
• [Journal Article] Super Yangian of superstring on AdS_5 x S^5 revisited (2011)
  • 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 models (2011)
  • Author(s): Io Kawaguchi, Kentaroh Yoshida
  • Journal Title: Physics Letter B Volume: 705 Issue: 3 Pages: 251-254
  • DOI: 10.1016/j.physletb.2011.09.117
  • Peer Reviewed
• [Journal Article] Yangian symmetry in deformed WZNW models on squashed spheres (2011)
  • Author(s): chi, Domenico Orlando, Kentaro
  • Journal Title: Physics Letter B Volume: 701 Issue: 4 Pages: 475-480
  • DOI: 10.1016/j.physletb.2011.06.007
  • Peer Reviewed
• [Journal Article] Semiclassical analysis of M2-brane in AdS_4 x S^7/Z_k (2010)
  • Author(s): 阪口真、Hyeonjoon Shin、吉田健太郎
  • Journal Title: Journal of High Energy Physics Volume: 12巻 Issue: 12 Pages: 012-24
  • DOI: 10.1007/jhep12(2010)012
  • Peer Reviewed
• [Journal Article] Hidden Yangian symmetry in sigma model on squashed sphere (2010)
  • Author(s): 川口維男、吉田健太郎
  • Journal Title: Journal of High Energy Physics Volume: 11巻 Issue: 11 Pages: 032-11
  • DOI: 10.1007/jhep11(2010)032
  • Peer Reviewed
• [Journal Article] Semiclassical analysis of M2-brane in AdS_4 x S^7/Z_k (2010)
  • Author(s): 阪口真, Hyeonjoon Shin, 吉田健太郎
  • Journal Title: Journal of High Energy Physics Volume: 12 Pages: 0-23
  • Peer Reviewed
• [Journal Article] Hidden Yangian symmetry in sigma model on squashed sphere (2010)
  • Author(s): 川口維男, 吉田健太郎
  • Journal Title: Journal of High Energy Physics Volume: 11 Pages: 0-10
  • Peer Reviewed
• [Presentation] Exotic symmetry in Schrodinger sigma models (2013)
  • 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 phenomena (2013)
  • 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] Dynamical Lifshitz spacetimes and aging phenomena (2013)
  • 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: 大阪
  • Invited
• [Presentation] Hybrid integrablestructure of squashed sigma models (2012)
  • 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 models (2012)
  • 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 integrable structure of deformed sigma models (2012)
  • Author(s): 吉田健太郎
  • Organizer: 日露共同研究workshop
  • Place of Presentation: 大阪市立大学
  • Year and Date: 2012-03-30
• [Presentation] Hybrid integrable structure of squashed sigma models (2012)
  • Author(s): Kentaroh Yoshida
  • Organizer: 国際会議「Integrability in gauge and string theory」
  • Place of Presentation: チューリッヒ、スイス
  • Invited
• [Presentation] Hybrid classicalintegrability in squashed sigmamodels (2011)
  • 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] Hybrid classical integrability in squashed sigma models (2011)
  • Author(s): 吉田健太郎
  • Organizer: the JSPS/RFBR collaboration workshop
  • Place of Presentation: モスクワ、ロシア
  • Year and Date: 2011-09-13
• [Presentation] Yangian symmetry indeformed WZNW models on squashed spheres (2011)
  • 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] Yangian symmetry in deformed WZNW models on squashed spheres (2011)
  • Author(s): 吉田健太郎
  • Organizer: 第2回静岡素粒子集中セミナー
  • Place of Presentation: 静岡大学
  • Year and Date: 2011-06-24
• [Presentation] Hidden Yangian symmetry in sigma model on squashed sphere (2010)
  • 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
• [Presentation] Hidden Yangian symmetry in sigma model on squashed sphere (2010)
  • Author(s): 吉田健太郎
  • Organizer: 第4回日露working seminar
  • Place of Presentation: 大阪、梅田(招待)
  • 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