Study of Spacetime Structure via Holography in Superstring Theory

• Project/Area Number: 20740132
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: The University of Tokyo
• Principal Investigator: TAKAYANAGI Tadashi 東京大学, 数物連携宇宙研究機構, 特任准教授 (10432353)
• Project Period (FY): 2008 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 超弦理論 / ホログラフィー / 量子重力 / 量子エンタングルメント / AdS/CFT / Dブレイン / AdS/CFT対応 / 非平衡物理 / トポロジカル絶縁体 / ブラックホール / ゲージ理論 / 量子ホール効果 / 超伝導 / AdS / CFT / 共形理論

Research Abstract

We constructed an example where the topology of spacetime changes by using the D-branes in string theory. We showed that the holography resolves a paradox on the entropy in the process of black hole formation.

Research Products

• [Journal Article] Holographic Fermi Surfaces and Entanglement Entropy (2012)
  • Author(s): N. Ogawa, T. Takayanagi and T. Ugajin
  • Journal Title: JHEP Volume: 1201 Pages: 125-125
• [Journal Article] Soliton Stars as Holographic Confined Fermi Liquids (2012)
  • Author(s): Jyotirmoy Bhattacharya, Noriaki Ogawa, Tadashi Takayanagi, Tomonori Ugajin
  • Journal Title: Journal of High Energy Physics Volume: 137 Issue: 2
  • DOI: 10.1007/jhep02(2012)137
  • Peer Reviewed
• [Journal Article] Holographic Fermi Surfaces and Entanglement Entropy (2012)
  • Author(s): Noriaki Ogawa, Tadashi Takayanagi, Tomonori Ugajin
  • Journal Title: Journal of High Energy Physics Volume: 125 Issue: 1
  • DOI: 10.1007/jhep01(2012)125
  • Peer Reviewed
• [Journal Article] Holographic Dual of BCFT (2011)
  • Author(s): T. Takayanagi
  • Journal Title: Phys. Rev. Lett Volume: 107 Pages: 101602-101602
• [Journal Article] Aspects of AdS/BCFT (2011)
  • Author(s): Mitsutoshi Fujita, Tadashi Takayanagi, Erik Tonni
  • Journal Title: Journal of High Energy Physics Volume: 43 Issue: 11
  • DOI: 10.1007/jhep11(2011)043
  • Peer Reviewed
• [Journal Article] Higher Derivative Corrections to Holographic Entanglement Entropy for AdS Solitons (2011)
  • Author(s): Noriaki Ogawa, Tadashi Takayanagi
  • Journal Title: Journal of High Energy Physics Volume: 147 Issue: 10
  • DOI: 10.1007/jhep10(2011)147
  • Peer Reviewed
• [Journal Article] Holographic Dual of BCFT (2011)
  • Author(s): T. Takayanagi
  • Journal Title: Physical Review Letters Volume: 107 Issue: 10 Pages: 101602-101602
  • DOI: 10.1103/physrevlett.107.101602
  • Peer Reviewed
• [Journal Article] Probing AdS Wormholes by Entanglement Entropy (2011)
  • Author(s): Mitsutoshi Fujita, Yasuyuki Hatsuda, Tadashi Takayanagi
  • Journal Title: Journal of High Energy Physics Volume: 141 Issue: 6
  • DOI: 10.1007/jhep06(2011)141
  • Peer Reviewed
• [Journal Article] Holographic Conductivity in Disordered Systems (2011)
  • Author(s): Shinsei Ryu, Tadashi Takayanagi, Tomonori Ugajin
  • Journal Title: Journal of High Energy Physics Volume: 115 Issue: 4
  • DOI: 10.1007/jhep04(2011)115
  • Peer Reviewed
• [Journal Article] Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT' (2010)
  • Author(s): S.Das, T.Nishioka, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 07 Pages: 71-71
  • Peer Reviewed
• [Journal Article] Topological Insulators and Superconductors from D-branes (2010)
  • Author(s): S.Ryu, T.Takayanagi
  • Journal Title: Physics Letter B Volume: 693 Pages: 175-179
  • Peer Reviewed
• [Journal Article] Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT (2010)
  • Author(s): S.Das, T.Nishioka, T.Takayanagi
  • Journal Title: Journal of High Energy Physics Volume: 1007:71
  • Peer Reviewed
• [Journal Article] Topological Insulators and Superconductors from String Theory (2010)
  • Author(s): S.Ryu, T.Takayanagi
  • Journal Title: Physical Review D Volume: 82 Pages: 86014-86014
  • Peer Reviewed
• [Journal Article] Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining (2010)
  • Author(s): T.Takayanagi, T.Ugajin
  • Journal Title: Journal of High Energy Physics Volume: 1011:054
  • Peer Reviewed
• [Journal Article] Holographic fractional topological insulators in 2+1 and 1+1 dimensions (2010)
  • Author(s): A.Karch, J.Maciejko, T.Takayanagi
  • Journal Title: Physical Review D Volume: 82 Pages: 126003-126003
  • Peer Reviewed
• [Journal Article] Holographic superconductor/insulator transition at zero temperature (2010)
  • Author(s): T.Nishioka, S.Ryu, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 03 Pages: 1-23
  • Peer Reviewed
• [Journal Article] Fractional Quantum Hall Effect via Holography : Chern-Simons, Edge States, and Hierarchy (2009)
  • Author(s): M. Fujita, W. Li, S. Ryu and T. Takayanagi
  • Journal Title: JHEP Volume: 0906 Pages: 66-66
• [Journal Article] On String Theory Duals of Lifshitz-like Fixed Points (2009)
  • Author(s): T.Azeyanagi, W.Li, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 06 Pages: 44-44
  • Peer Reviewed
• [Journal Article] Fractional Quantum Hall Effect via Holography : Chern-Simons, Edge States, and Hierarchy (2009)
  • Author(s): M.Fujita, W.Li, S.Ryu, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 06 Pages: 37-37
  • Peer Reviewed
• [Journal Article] ABJM with Flavors and FQHE (2009)
  • Author(s): Y.Hikida, W.Li, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 07 Pages: 1-21
  • Peer Reviewed
• [Journal Article] Holographic Entanglement Entropy : An Overview (2009)
  • Author(s): T.Nishioka, S.Ryu, T.Takayanagi
  • Journal Title: Journal of Physics A A42 Pages: 5040081-35
  • Peer Reviewed
• [Journal Article] Topological String on OSP(1|2)/U(1) (2009)
  • Author(s): G.Giribet, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 09 Pages: 1-22
  • Peer Reviewed
• [Journal Article] Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories (2009)
  • Author(s): W.Li, T.Nishioka, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 10 Pages: 1-17
  • Peer Reviewed
• [Journal Article] Fuzzy Ring from M2-brane Giant Torus (2008)
  • Author(s): T. Nishioka and T. Takayanagi
  • Journal Title: JHEP Volume: 0810 Pages: 82-82
• [Journal Article] Fuzzy Ring from M2-brane Giant Torus (2008)
  • Author(s): T.Nishioka, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 10 Pages: 82-82
  • Peer Reviewed
• [Journal Article] On Type IIA Penrose Limit and N=6 Chern-Simons Theories (2008)
  • Author(s): T.Nishioka, T.Takayanagi
  • Journal Title: Journal of High Energy Physics 08 Pages: 1-1
  • Peer Reviewed
• [Journal Article] Geometric Entropy and Hagedorn/Deconfinement Transition (2008)
  • Author(s): M. Fuiita, T. Nishioka, and T. Takayanagi
  • Journal Title: Journal of High Energy Physics 0809 Pages: 16-16
  • Peer Reviewed
• [Journal Article] On Type IIA Penrose Limit and N=6 Chern-Simons Theories (2008)
  • Author(s): T.Nishioka and T.Takayanagi
  • Journal Title: Journal of High Energy Physics 0808 Pages: 1-1
  • Peer Reviewed
• [Journal Article] Fuzzy Ring from M2-brane Giant Torus (2008)
  • Author(s): T.Nishioka and T.Takayanagi
  • Journal Title: Journal of High Energy Physics 0810 Pages: 82-82
  • Peer Reviewed
• [Presentation] Entanglement Entropyand AdS/CFT (2012)
  • Author(s): T. Takayanagi
  • Organizer: The CERN Winter Schoolon Supergravity
  • Place of Presentation: Strings and GaugeTheory
  • Year and Date: 2012-06-10
• [Presentation] 時空の構造と量子エンタングルメント (2012)
  • Author(s): 高柳匡
  • Organizer: KEK理論研究会
  • Place of Presentation: KEK(招待講演)
  • Year and Date: 2012-03-07
• [Presentation] AdS/CFT対応とフェルミ面 (2012)
  • Author(s): 高柳匡
  • Organizer: 立教研究会「弦理論、場の理論における非摂動的手法」
  • Place of Presentation: 立教大学(招待講演)
  • Year and Date: 2012-02-19
• [Presentation] Entanglement Entropy and AdS/CFT (2012)
  • Author(s): Tadashi Takayanagi
  • Organizer: The CERN Winter School on Supergravity, Strings and Gauge Theory
  • Place of Presentation: CERN(スイス)(招待講演)
• [Presentation] AdS/CFT対応とエンタングルメント.エントロピー (2011)
  • Author(s): 高柳匡
  • Organizer: 基研研究会:量子多体系のエンタングルメントとくりこみ群
  • Place of Presentation: 京大基研(招待講演)
  • Year and Date: 2011-12-15
• [Presentation] Recent Updates of Holographic Entanglement Entropy (2011)
  • Author(s): Tadashi Takayanagi
  • Organizer: KITP program : Holographic Duality and Condensed Matter Physics
  • Place of Presentation: KITP,カリフォルニア大学サンタバーバラ校(米国)(招待講演)
  • Year and Date: 2011-10-19
• [Presentation] Holographic Dual of BCFT (2011)
  • Author(s): Tadashi Takayanagi
  • Organizer: KIAS-YITP Joint Workshop : String Theory, Holography and Beyond
  • Place of Presentation: KIAS(韓国)(招待講演)
  • Year and Date: 2011-09-21
• [Presentation] 「AdS/CFTと物性」、理論核物理領域,素粒子論領域合同シンポジウム、主題:強相関物理の新展開 (2011)
  • Author(s): 高柳匡
  • Organizer: 日本物理学会、2011年秋季大会
  • Place of Presentation: 弘前大
  • Year and Date: 2011-09-18
• [Presentation] AdS/CFTと物性 (2011)
  • Author(s): 高柳匡
  • Organizer: 日本物理学会、理論核物理領域,素粒子論領域合同シンポジウム、主題:強相関物理の新展開
  • Place of Presentation: 弘前大(招待講演)
  • Year and Date: 2011-09-18
• [Presentation] Holographic Entanglement Entropy and its New Developments (2011)
  • Author(s): Tadashi Takayanagi
  • Organizer: Strings 2011
  • Place of Presentation: Uppsala大学(スウェーデン)(招待講演)
  • Year and Date: 2011-07-01
• [Presentation] Holographic Quantum Quenches (2011)
  • Author(s): T.Takayanagi
  • Organizer: Apen conference on Strongly Correlated Systems and Gauge/Gravity Duality
  • Place of Presentation: Aspen Center for Physics, USA
  • Year and Date: 2011-02-01
• [Presentation] Holographic Quantum Quenches (2011)
  • Author(s): T.Takayanagi
  • Organizer: Strongly Correlated Systems and Gauge/Gravity Duality
  • Place of Presentation: Aspen Center for Physics, USA
  • Year and Date: 2011-02-01
• [Presentation] Holographic Entanglement Entropy and Black Holes (2011)
  • Author(s): T.Takayanagi
  • Organizer: Indian Strings Meeting 2011
  • Place of Presentation: Blue Orchid Resorts, Puri, India
  • Year and Date: 2011-01-10
• [Presentation] Holographic Entanglement Entropy and its NewDevelopments (2011)
  • Author(s): T. Takayanagi
  • Organizer: 国際会議Strings2011
  • Place of Presentation: Uppsala,スウェーデン
• [Presentation] Entanglement Entropy and Quantum Quenches in AdS/CFT (2010)
  • Author(s): T.Takayanagi
  • Organizer: AdS/CM duality and other approaches
  • Place of Presentation: KITPC, Beijing.Nov.1-5, 2010 China
  • Year and Date: 2010-11-01
• [Presentation] Geometric Calculation of Entanglement Entropy via AdS/CFT (2010)
  • Author(s): T.Takayanagi
  • Organizer: New Development of Numerical Simulations in Low-Dimensional Quantum Systems
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2010-10-29
• [Presentation] Black Holes and Holographic Quantum Quench (2010)
  • Author(s): T.Takayanagi
  • Organizer: Autumn Symposium on String/M Theory
  • Place of Presentation: KIAS, Korea
  • Year and Date: 2010-10-14
• [Presentation] Topological Insulators and Superconductors (2010)
  • Author(s): T.Takayanagi
  • Organizer: APCTP Focus Program Aspects of Holography and Gauge/String Duality
  • Place of Presentation: APCTP, Korea
  • Year and Date: 2010-08-18
• [Presentation] Mini Black Holes and Quantum Quench from AdS/CFT (2010)
  • Author(s): T.Takayanagi
  • Organizer: YKIS2010 symposium : Cosmology--The Next Generation--
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2010-06-28
• [Presentation] Mini Black Holes and Quantum Quench from AdS/CFT (2010)
  • Author(s): T.Takayanagi
  • Organizer: Gravity and Cosmology 2010
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2010-06-10
• [Presentation] Holographic Entanglement Entropy (2010)
  • Author(s): T.Takayanagi
  • Organizer: Quantum Field Theory on Curved Space-times and Curved Target Spaces
  • Place of Presentation: The Erwin Schrodinger Institute, Austria
  • Year and Date: 2010-04-29
• [Presentation] Lifshitz 固定点のAdS/CFTへの応用 (2010)
  • Author(s): 高柳匡
  • Organizer: 研究会 第三回 超弦理論と宇宙
  • Place of Presentation: 城崎温泉、旅館「志なのや」
  • Year and Date: 2010-02-18
• [Presentation] Entanglement Entropy and Topological Insulators from String Theory (2010)
  • Author(s): 高柳匡
  • Organizer: IPMU Focus Week, Condensed Matter Physics Meets High Energy Physics
  • Place of Presentation: 東京大学数物連携宇宙研究機構(IPMU)
  • Year and Date: 2010-02-12
• [Presentation] Holographic Insulator/Superconductor Phase Transition at Zero Temperature (2009)
  • Author(s): 高柳匡
  • Organizer: AdS/CFT : strongly coupled systems and exact results
  • Place of Presentation: Institut Henri Poincare, Paris, France
  • Year and Date: 2009-11-26
• [Presentation] Holographic Insulator/Superconductor Phase Transition at Zero Temperature (2009)
  • Author(s): 高柳匡
  • Organizer: Branes, Strings and Black holes
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2009-10-09
• [Presentation] Can we really have string theory duals of non-relativistic fixed points? (2009)
  • Author(s): 高柳匡
  • Organizer: NIMS-APCTP Joint International workshop "String Theory and Cosmology"
  • Place of Presentation: Gaejeon, Korea
  • Year and Date: 2009-09-24
• [Presentation] Holographic Entanglement Entropy, Fractional Quantum Hall Effect, and Lifshitz-like Fixed Points (2009)
  • Author(s): T. Takayanagi
  • Organizer: QuantumTheory and Symmetries 6
  • Place of Presentation: Lexington, Kentucky,米国
  • Year and Date: 2009-07-23
• [Presentation] Holographic Entanglement Entropy, Fractional Quantum Hall Effect,and Lifshitz-like Fixed Points (2009)
  • Author(s): T.Takayanagi
  • Organizer: Plenary talk at Quantum Theory and Symmetries 6
  • Place of Presentation: Lexington, Kentucky, USA
  • Year and Date: 2009-07-23
• [Presentation] Holographic Entanglement Entropy, Fractional Quantum Hall Effect, and Lifshitz-like Fixed Points (2009)
  • Author(s): 高柳匡
  • Organizer: Quantum Theory and Symmetries 6
  • Place of Presentation: ケンタッキー大学、USA
  • Year and Date: 2009-07-23
• [Presentation] Holographic Entanglement Entropy (2009)
  • Author(s): 高柳匡
  • Organizer: KITP miniprogram, "Quantum Criticality and the AdS/CFT Correspondence"
  • Place of Presentation: Kavli 理論物理学研究所、UC Santa Barbara, USA
  • Year and Date: 2009-07-20
• [Presentation] Holographic Lifshitz-like Fixed Points in String Theory and Entanglement Entropy (2009)
  • Author(s): 高柳匡
  • Organizer: Frontiers in Black Hole Physics
  • Place of Presentation: JINR, Dubna, Russia
  • Year and Date: 2009-05-26
• [Presentation] Entanglement Entropy and Phase Transition in AdS/CFT Correspondence (2008)
  • Author(s): T. Takayanagi
  • Organizer: Recent Developments in String/M Theory
  • Place of Presentation: KIAS, Seoul, 韓国
  • Year and Date: 2008-09-25