Application of AdS/CFT duality on the non linear phenomena

• Project/Area Number: 26400280
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Shibaura Institute of Technology
• Principal Investigator: Maeda Kengo 芝浦工業大学, 工学部, 教授 (10390478)
• Co-Investigator(Kenkyū-buntansha): 石橋 明浩 近畿大学, 理工学部, 准教授 (10469877) ; 飯塚 則裕 大阪大学, 理学研究科, 助教 (40645462)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000); Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000); Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: ブラックホール / 超流動 / ゲージ重力対応 / AdS/CFT / 超流動速度 / 乱流現象 / superradiance / 非線形摂動 / 宇宙検閲仮説の検証 / 一般化された境界条件 / 剛性定理 / ブラックブレーン

Outline of Final Research Achievements

According to the AdS/CFT duality, d-dim. strongly coupled gauge field is dual to d+1-dim.asymptotically Anti-de Sitter spacetime.In this research,beyond the linear response theory, we construct novel solutions of hairy charged stationary black branes with rotation along the latticed direction, which is dual to a persistent superconductor current along the direction with no translational symmetry.These solutions are consistent with the black hole rigidity theorem, which states that a stationary rotating black hole must have symmetry along the direction of conserved momentum.In addition,our solutions are consistent with the two-fluid model.

Research Products

• [Int'l Joint Research] カリフォルニア州立大学サンタバーバラ校(米国)
• [Journal Article] Holographic superfluid flows with a localized repulsive potential (2016)
  • Author(s): 石橋明浩、前田健吾、岡村隆
  • Journal Title: Physical Review D Volume: 94
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Violation of cosmic censorship in dynamical $p$-brane systems (2016)
  • Author(s): 前田健吾、鵜沢報仁
  • Journal Title: Physical Review D Volume: 93 Issue: 4
  • DOI: 10.1103/physrevd.93.044003
  • Peer Reviewed
• [Journal Article] A rotating hairy AdS3 black hole with the metric having only one Killing vector field (2015)
  • Author(s): Norihiro Iizuka, Akihiro Ishibashi, Kengo Maeda
  • Journal Title: Journal of High Energy Physics Volume: 08 Issue: 8 Pages: 112-112
  • DOI: 10.1007/jhep08(2015)112
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] A No Black Hole Theorem (2015)
  • Author(s): Gavin S. Hartnett, Gary T. Horowitz, 前田健吾
  • Journal Title: Classical and Quantum Gravity Volume: 32 Issue: 5 Pages: 055011-055011
  • DOI: 10.1088/0264-9381/32/5/055011
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Persistent Superconductor Currents in Holographic Lattices (2014)
  • Author(s): 飯塚則弘、石橋明浩、前田健吾
  • Journal Title: Physical Review Letters Volume: 113
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Can a stationary Bianchi black brane have momentum along the direction with no translational symmetry? (2014)
  • Author(s): 飯塚則裕、石橋明浩、前田健吾
  • Journal Title: Journal of High Energy Physics Volume: 06 Issue: 6 Pages: 064-064
  • DOI: 10.1007/jhep06(2014)064
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] Superfluid flow with external localized repulsive potential (2015)
  • Author(s): 前田健吾
  • Organizer: VIII black holes workshop
  • Place of Presentation: TECNICO, LISBON, ポルトガル共和国
  • Year and Date: 2015-12-21
  • Int'l Joint Research
• [Presentation] Superradiant Instability of AdS black holes (2015)
  • Author(s): 石橋明浩
  • Organizer: VIII black holes workshop
  • Place of Presentation: TECNICO, LISBON, ポルトガル共和国
  • Year and Date: 2015-12-21
  • Int'l Joint Research
• [Presentation] Rotating AdS black holes and condensed matter physics (2015)
  • Author(s): 前田健吾
  • Organizer: GR 100 years
  • Place of Presentation: TECNICO, LISBON, ポルトガル共和国
  • Year and Date: 2015-12-18
  • Int'l Joint Research / Invited
• [Presentation] Perturbation and stability of higher dimensional black holes (2015)
  • Author(s): 石橋明浩
  • Organizer: GR 100 years
  • Place of Presentation: TECNICO, LISBON, ポルトガル共和国
  • Year and Date: 2015-12-18
  • Int'l Joint Research / Invited
• [Presentation] A rotating hairy AdS(3) black hole with only one Killing vector field (2015)
  • Author(s): 石橋明浩
  • Organizer: One Hundred Years of STRONG GRAVITY
  • Place of Presentation: TECNICO, LISBON, ポルトガル共和国
  • Year and Date: 2015-06-10
  • Int'l Joint Research
• [Presentation] What does condensed matter physics tell us about general relativity? (2015)
  • Author(s): 飯塚則裕
  • Organizer: The 2nd Workshop on Developments in M-Theory
  • Place of Presentation: Korea
  • Year and Date: 2015-01-12 – 2015-01-16
  • Invited
• [Presentation] Stationary Bianchi black brane solutions and Holographic (2014)
  • Author(s): 前田健吾
  • Organizer: VII Black Holes Workshop
  • Place of Presentation: Aveiro, Portugal
  • Year and Date: 2014-12-18 – 2014-12-19
• [Presentation] What does condensed matter physics tell us about general relativity? (2014)
  • Author(s): 飯塚則裕
  • Organizer: Holographic vistas on Gravity and Strings
  • Place of Presentation: 京都大学
  • Year and Date: 2014-05-26 – 2014-05-28
  • Invited