The Universal Properties of the Holographic CFT

• Project/Area Number: 18J22495
• Research Category: Grant-in-Aid for JSPS Fellows
• Allocation Type: Single-year Grants
• Section: 国内
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kyoto University
• Principal Investigator: 楠亀 裕哉 京都大学, 理学研究科, 特別研究員(DC1)
• Project Period (FY): 2018-04-25 – 2021-03-31
• Project Status: Completed (Fiscal Year 2020)
• Budget Amount: ¥3,100,000 (Direct Cost: ¥3,100,000); Fiscal Year 2020: ¥1,000,000 (Direct Cost: ¥1,000,000); Fiscal Year 2019: ¥1,000,000 (Direct Cost: ¥1,000,000); Fiscal Year 2018: ¥1,100,000 (Direct Cost: ¥1,100,000)
• Keywords: AdS/CFT対応 / 共形場理論 / 共形ブートストラップ / ブラックホール / 量子エンタングルメント / 量子カオス

Outline of Annual Research Achievements

本年度は主に以下の２つの方向性の研究を実施し、結果を論文として発表した。
【新しいホログラフィー原理の提案】ホログラフィー原理はd次元の共形場理論(CFT)とd+1次元の量子重力理論が等価であるという主張である。この原理はブラックホール情報喪失問題などの物理の根源的な理解に多大に貢献しており現代の物理学において重要なツールの一つとなっている。本研究ではこれを一般の次元の比較に拡張して、「d次元の共形場理論とd+2次元の量子重力理論の対応関係」を明らかにした。この結果は元のAdS/CFT対応と同様、様々な方向性で活躍する事が期待される。
【BCFTの拡張と、Page curveの理解への応用】ブラックホールの量子論を解析する手法の一つとして、近年「量子重力理論に熱系をくっつけて、熱系のダイナミクスを調べる事で重力理論を理解する」というアプローチが生まれた。この手法は特にPage curve問題と呼ばれる問題の解決に対して大きな発展をもたらした。しかしながら、この手法は様々な仮説の上に成り立っているものとなっている。これをより厳密にするアプローチの一つとして、BCFTの言葉に焼き直すというものが思いつく。これは以下の理由による。「①:量子重力理論に対してAdS/CFT対応を用いる事によって、本セットアップを（境界付きの熱系=BCFT）に焼き直せると期待される」、「②:BCFTは非常に体系的に理解されている理論であるため、厳密な扱いが可能である。また、BCFTの重力双対(AdS/BCFT対応)が良く理解されている。」。しかしながら、この焼き直しは既存のBCFTでは不可能なものであった。本研究ではこれを扱う手法を新たに開発し、それを実際にPage curveの問題に適用した。この結果はPage curveやbraneworld holographyの理解に繋がると期待される。

Research Progress Status

令和2年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和2年度が最終年度であるため、記入しない。

Research Products

• [Int'l Joint Research] Univercity of Chicago(米国)
• [Journal Article] Entanglement Entropy in a Holographic Moving Mirror and the Page Curve (2021)
  • Author(s): Akal Ibrahim、Kusuki Yuya、Shiba Noburo、Takayanagi Tadashi、Wei Zixia
  • Journal Title: Physical Review Letters Volume: 126 Issue: 6 Pages: 061604-061604
  • DOI: 10.1103/physrevlett.126.061604
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy (2021)
  • Author(s): Kudler-Flam Jonah、Kusuki Yuya、Ryu Shinsei
  • Journal Title: Journal of High Energy Physics Volume: 2021 Issue: 3 Pages: 146-146
  • DOI: 10.1007/jhep03(2021)146
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Dynamics of entanglement wedge cross section from conformal field theories (2021)
  • Author(s): Kusuki Yuya、Tamaoka Kotaro
  • Journal Title: Physics Letters B Volume: 814 Pages: 136105-136105
  • DOI: 10.1016/j.physletb.2021.136105
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Codimension-two holography for wedges (2020)
  • Author(s): Akal Ibrahim、Kusuki Yuya、Takayanagi Tadashi、Wei Zixia
  • Journal Title: Physical Review D Volume: 102 Issue: 12 Pages: 126007-126007
  • DOI: 10.1103/physrevd.102.126007
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Looking at shadows of entanglement wedges (2020)
  • Author(s): Kusuki Yuya、Suzuki Yuki、Takayanagi Tadashi、Umemoto Koji
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2020 Issue: 11 Pages: 152-152
  • DOI: 10.1093/ptep/ptaa152
  • Peer Reviewed / Open Access
• [Journal Article] Entanglement Entropy after Double Excitation as an Interaction Measure (2020)
  • Author(s): Kusuki Yuya、Miyaji Masamichi
  • Journal Title: Physical Review Letters Volume: 124 Issue: 6 Pages: 061601-061601
  • DOI: 10.1103/physrevlett.124.061601
  • Peer Reviewed / Open Access
• [Journal Article] Entanglement wedge cross section from CFT: dynamics of local operator quench (2020)
  • Author(s): Kusuki Yuya、Tamaoka Kotaro
  • Journal Title: Journal of High Energy Physics Volume: 2020 Issue: 2 Pages: 017-017
  • DOI: 10.1007/jhep02(2020)017
  • Peer Reviewed / Open Access
• [Journal Article] Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories (2020)
  • Author(s): Kusuki Yuya、Kudler-Flam Jonah、Ryu Shinsei
  • Journal Title: Journal of High Energy Physics Volume: 2020 Issue: 4 Pages: 074-074
  • DOI: 10.1007/jhep04(2020)074
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block (2019)
  • Author(s): Kusuki Yuya、Miyaji Masamichi
  • Journal Title: Journal of High Energy Physics Volume: 2019 Issue: 8 Pages: 063-063
  • DOI: 10.1007/jhep08(2019)063
  • Peer Reviewed / Open Access
• [Journal Article] Derivation of Holographic Negativity in AdS3/CFT2 (2019)
  • Author(s): Kusuki Yuya、Kudler-Flam Jonah、Ryu Shinsei
  • Journal Title: Physical Review Letters Volume: 123 Issue: 13 Pages: 131603-131603
  • DOI: 10.1103/physrevlett.123.131603
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity (2019)
  • Author(s): Kusuki Yuya
  • Journal Title: Journal of High Energy Physics Volume: 2019 Issue: 1
  • DOI: 10.1007/jhep01(2019)025
  • Peer Reviewed / Open Access
• [Journal Article] New properties of large-c conformal blocks from recursion relation (2018)
  • Author(s): Kusuki Yuya
  • Journal Title: Journal of High Energy Physics Volume: 2018 Issue: 7
  • DOI: 10.1007/jhep07(2018)010
  • Peer Reviewed / Open Access
• [Journal Article] Eigenstate thermalization hypothesis and modular invariance of two-dimensional conformal field theories (2018)
  • Author(s): Hikida Yasuaki、Kusuki Yuya、Takayanagi Tadashi
  • Journal Title: Physical Review D Volume: 98 Issue: 2 Pages: 026003-026003
  • DOI: 10.1103/physrevd.98.026003
  • NAID: 120006551748
  • Peer Reviewed / Open Access
• [Journal Article] Large c Virasoro blocks from monodromy method beyond known limits (2018)
  • Author(s): Kusuki Yuya
  • Journal Title: Journal of High Energy Physics Volume: 2018 Issue: 8
  • DOI: 10.1007/jhep08(2018)161
  • Peer Reviewed / Open Access
• [Presentation] Page curve in moving mirror setup (2020)
  • Author(s): Yuya Kusuki
  • Organizer: Recent progress in theoretical physics based on quantum information theory
  • Int'l Joint Research / Invited
• [Presentation] Codimension two holography (2020)
  • Author(s): Yuya Kusuki
  • Organizer: String theory, gravity and cosmology
  • Int'l Joint Research / Invited
• [Presentation] Wedge holography as generalization of AdS/CFT (2020)
  • Author(s): Yuya Kusuki
  • Organizer: East Asian Strings Webinar Series
  • Int'l Joint Research / Invited
• [Presentation] ライトコーン極限における二次元共形ブロックとその応用 (2019)
  • Author(s): Yuya Kusuki
  • Organizer: 日本物理学会受賞記念講演
  • Invited
• [Presentation] Light Cone Bootstrap in 2D CFTs (2019)
  • Author(s): Yuya Kusuki
  • Organizer: 日本物理学会
• [Presentation] Light cone bootstrap in 2D CFTs (2019)
  • Author(s): Yuya Kusuki
  • Organizer: String and Fields
  • Int'l Joint Research
• [Presentation] Light Cone Bootstrap in 2D CFTs (2019)
  • Author(s): Yuya Kusuki
  • Organizer: Quantum Information and String Theory 2019
  • Int'l Joint Research
• [Presentation] Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity (2019)
  • Author(s): Yuya Kusuki
  • Organizer: Quantum Information and String Theory 2019
  • Int'l Joint Research
• [Presentation] Light cone structure of Virasoro blocks (2018)
  • Author(s): Yuya Kusuki
  • Organizer: Recent Developments in Gauge Theory and String Theory” in Keio University
  • Int'l Joint Research / Invited
• [Presentation] Large-c Conformal Blocks beyond Known Limits (2018)
  • Author(s): Yuya Kusuki
  • Organizer: Strings 2018
  • Int'l Joint Research
• [Presentation] New Properties of Large-c Conformal Blocks from Recursion Relation (2018)
  • Author(s): Yuya Kusuki
  • Organizer: String and Fields
  • Int'l Joint Research
• [Presentation] ETH & Modular invariance in 2D CFTs (2018)
  • Author(s): Yuya Kusuki
  • Organizer: 日本物理学会