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Geometry of Black Hole and Sasaki-Einstein Metric

Research Project

Project/Area Number 19540304
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionOsaka City University

Principal Investigator

YASUI Yukinori  Osaka City University, 大学院・理学研究科, 准教授 (30191117)

Co-Investigator(Kenkyū-buntansha) HASHIMOTO Yoshitake  大阪市立大学, 大学院・理学研究科, 准教授 (20271182)
OOTA Takeshi  大阪市立大学, 大学院・理学研究科数学研究所, 専任研究員 (70419688)
SAKAGUCHI Makoto  岡山光量子科学研究所, 研究員 (90382027)
Co-Investigator(Renkei-kenkyūsha) SAKAGUCHI Makoto  , 岡山光量子科学研究所, 研究員 (90382027)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Keywordsブラックホール / 佐々木-Einstein計量 / ゲージ・重力理論対応 / ゲージ重力対応 / 佐々木-Einstein多様体 / 素粒子論 / 幾何学 / 宇宙物理 / 数理物理 / トポロジー
Research Abstract

近年の超弦理論の発展は高次元のEinstein方程式を解析する大きな動機づけを与えた. このような流れの中で高次元ブラックホールに存在する隠れた対称性を発見した.この結果をさらに発展させ「高次元ブラックホール解の一意性定理」を証明した. また,高次元ブラックホール解をコンパクト化することにより得られる佐々木Einstein計量を使ってゲージ・重力理論対応の検証を行った

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (65 results)

All 2009 2008 2007

All Journal Article (26 results) (of which Peer Reviewed: 21 results) Presentation (39 results)

  • [Journal Article] Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime2009

    • Author(s)
      T. Houri, T. Oota and Y. Yasui
    • Journal Title

      Class. Quant. Grav 045015

      Pages: 18-18

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] ヤン・ミルズ方程式と対称性2009

    • Author(s)
      橋本義武
    • Journal Title

      数理科学 549

      Pages: 45-50

    • Related Report
      2008 Final Research Report
  • [Journal Article] Closed Conformal Killing-Yano Tensor and Uniqueness of Generalized Kerr-NUT-de Sitter Spacetime2009

    • Author(s)
      T. Houri
    • Journal Title

      Classical and Quantum Gravity 26

      Pages: 45015-45015

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ヤン・ミルズ方程式と対称性2009

    • Author(s)
      橋本 義武
    • Journal Title

      数理科学 549

      Pages: 45-50

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Generalized Kerr-NUT-de Sitter metrics in all dimensions2008

    • Author(s)
      T. Houri, T. Oota and Y. Yasui
    • Journal Title

      Phys. Lett. B666

      Pages: 391-394

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime2008

    • Author(s)
      T. Oota and Y. Yasui
    • Journal Title

      Phys. Lett B659

      Pages: 688-693

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness2008

    • Author(s)
      Y. Yasui
    • Journal Title

      Int. J. Mod. Phys A23

      Pages: 2169-2171

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Closed conformal Killing-Yano tensor and geodesic integrability2008

    • Author(s)
      T. Houri, T. Oota and Y. Yasui
    • Journal Title

      J. Phys. A : Math. Theor 025204

      Pages: 12-12

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Boundary Value Problem for Black Rings2008

    • Author(s)
      Y. Morisawa, S. Tomizawa and Y. Yasui
    • Journal Title

      Phys. Rev. D77(2008) 064019

      Pages: 11-11

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 層~現代数学における図形2008

    • Author(s)
      橋本義武
    • Journal Title

      数理科学 3

      Pages: 13-18

    • Related Report
      2008 Final Research Report
  • [Journal Article] N=2 quiver gauge model and partial supersymmetry breaking2008

    • Author(s)
      H. Itoyama, K. Mayuyoshi and M. Sakaguchi
    • Journal Title

      Nucl. Phys. B794

      Pages: 216-230

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A semiclassical string description of Wilson loop with local operators2008

    • Author(s)
      M. Sakaguchi and K. Yoshida
    • Journal Title

      Nucl. Phys. B798

      Pages: 72-88

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Holography of non-relativistic string on AdS5xS52008

    • Author(s)
      M. Sakaguchi and K. Yoshida
    • Journal Title

      J. High. Energy. Phys. 0802 (2008) 092

      Pages: 28-28

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Super Schrodinger algebra in AdS/CFT2008

    • Author(s)
      M. Sakaguchi and K. Yoshida
    • Journal Title

      J. Math. Phys. 49 (2008) 102302

      Pages: 13-13

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] More super Schrodinger algebras from psu(2, 24)2008

    • Author(s)
      M. Sakaguchi and K. Yoshida
    • Journal Title

      J. High. Energy. Phys. 0808 (2008) 049

      Pages: 14-14

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Generalized Kerr-NUT-de Sitter Metrics in All Dimensions2008

    • Author(s)
      T. Houri
    • Journal Title

      Physics Letter B 666

      Pages: 391-394

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Closed conformal Killing-Yano tensor and geodesic integrability2008

    • Author(s)
      T. Houri
    • Journal Title

      J. Math. A:Math. Theor. 41

      Pages: 25204-25204

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boundary value problem for black rings2008

    • Author(s)
      Y. Morisawa
    • Journal Title

      Phys. Rev. D 77

      Pages: 64019-64019

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime2008

    • Author(s)
      T. Oota
    • Journal Title

      Phys. Lett. B 659

      Pages: 688-693

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness2007

    • Author(s)
      T. Houri, T. Oota and Y. Yasui
    • Journal Title

      Phys. Lett. B656

      Pages: 214-216

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Kerr-NUT-de Sitter curvature in all dimensions2007

    • Author(s)
      T. Houri, T. Oota and Y. Yasui
    • Journal Title

      J. Phys. A : Math. Theor 40

      Pages: 177-184

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] New example of infinite family of quiver gauge theories2007

    • Author(s)
      T. Oota and Y. Yasui
    • Journal Title

      Nucl. Phys. B762

      Pages: 377-391

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A short proof of Morley' s theorem2007

    • Author(s)
      Y. Hashimoto
    • Journal Title

      Elem. Math 62 (2007) no.3

      Pages: 121-121

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] アティヤ・シンガーの指数定理2007

    • Author(s)
      橋本義武
    • Journal Title

      数学セミナー 12

      Pages: 24-27

    • Related Report
      2008 Final Research Report
  • [Journal Article] ゲージ理論2007

    • Author(s)
      橋本義武
    • Journal Title

      数理科学 8

      Pages: 26-32

    • Related Report
      2008 Final Research Report
  • [Journal Article] Closed conformal Killing-Yano tensor and Kerr-NUTde Sitter uniqueness2007

    • Author(s)
      T. Houri
    • Journal Title

      Phys. Lett. B 656

      Pages: 214-216

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 高次元ブラックホール時空における重力摂動の変数分離性について2009

    • Author(s)
      大田武志
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-30
    • Related Report
      2008 Final Research Report
  • [Presentation] 高次元Kerrブラックホール時空における重力摂動の変数分離性について2009

    • Author(s)
      大田 武志
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学池袋キャンパス
    • Year and Date
      2009-03-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] コンフォーマルKilling-矢野テンソルを持つコンパクトなEinstein多様体2009

    • Author(s)
      安井幸則
    • Organizer
      日本数学会幾何分科会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Related Report
      2008 Final Research Report
  • [Presentation] コンフオーマルKilling-矢野テンソルを持つコンパクトなEinstein空間多様体2009

    • Author(s)
      安井 幸則
    • Organizer
      日本数学会幾何分科会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Super Schrodinger invariant field theories2009

    • Author(s)
      阪口真
    • Organizer
      日本物理学会企画講演
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2008 Final Research Report
  • [Presentation] Non-relativistic limit of supersymmetric Chern-Simons-matter theories2009

    • Author(s)
      阪口真
    • Organizer
      大阪素粒子論セミナー
    • Place of Presentation
      大阪市立大学文化交流センター
    • Year and Date
      2009-03-23
    • Related Report
      2008 Final Research Report
  • [Presentation] On the signs of the combinatorial Heegaad-Floer complexes2009

    • Author(s)
      橋本義武
    • Organizer
      第4回代数・解析・幾何セミナー
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2009-02-17
    • Related Report
      2008 Final Research Report
  • [Presentation] Closed conformal Killing-Yano tensor and generalized Kerr-NUT-de Sitter spacetime2009

    • Author(s)
      大田武志
    • Organizer
      研究集会「擬リーマン幾何学の展開」
    • Place of Presentation
      お茶の水女子大学
    • Year and Date
      2009-02-17
    • Related Report
      2008 Final Research Report
  • [Presentation] On the signs of the combinatorial Heegaard-Floer complexes2009

    • Author(s)
      橋本 義武
    • Organizer
      第4回代数・解析・幾何セミナー
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2009-02-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Closed conformal Killing-Yano tensor and generalized Kerr-NUT-de Sitter spacetirae2009

    • Author(s)
      大田 武志
    • Organizer
      研究集会「擬リーマン幾何学の展開」
    • Place of Presentation
      お茶の水女子大学理学部
    • Year and Date
      2009-02-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高次元ブラックホール時空における重力摂動の変数分離性について2009

    • Author(s)
      安井幸則
    • Organizer
      特異点研究会
    • Place of Presentation
      高エネルギー物理学研究所
    • Year and Date
      2009-01-11
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Super Schrodinger invariant field theories2009

    • Author(s)
      阪口真
    • Organizer
      Sapporo Winter School
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-01-08
    • Related Report
      2008 Final Research Report
  • [Presentation] Super Schrodinger algebra & non-relativistic limits of supersymmetric Chern-Simons-matter theories2008

    • Author(s)
      阪口真
    • Organizer
      理研シンポジウム「場と弦の理論の新展開に向けて」
    • Place of Presentation
      理化学研究所
    • Year and Date
      2008-12-20
    • Related Report
      2008 Final Research Report
  • [Presentation] Non-relativistic limits of supersymmetric field theories & Super Schrodinger algebra2008

    • Author(s)
      阪口真
    • Organizer
      KEK研究会「ヘテロティク弦とM理論」
    • Place of Presentation
      高エネルギー研究所
    • Year and Date
      2008-12-02
    • Related Report
      2008 Final Research Report
  • [Presentation] 曲面のスピン構造をめぐって2008

    • Author(s)
      橋本義武
    • Organizer
      日本数学会トポロジー分科会特別講演
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Super Schrodinger in Super Conformal2008

    • Author(s)
      阪口真
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-21
    • Related Report
      2008 Final Research Report
  • [Presentation] Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime2008

    • Author(s)
      大田武志
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
    • Related Report
      2008 Final Research Report
  • [Presentation] closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime2008

    • Author(s)
      大田 武志
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学小白川キャンパス
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Super Schrodinger in Super Conformal2008

    • Author(s)
      阪口真
    • Organizer
      研究会「量子場理論と弦理論の発展」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2008-07-31
    • Related Report
      2008 Final Research Report
  • [Presentation] コンフォーマルKilling-矢野テンソルを持つEinstein空間の分類2008

    • Author(s)
      安井幸則
    • Organizer
      研究会「量子場理論と弦理論の発展」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2008-07-30
    • Related Report
      2008 Final Research Report
  • [Presentation] コンフオーマルKilling-矢野テンソルを持つEinstein空間の分類2008

    • Author(s)
      安井 幸則
    • Organizer
      研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2008-07-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Kerr-NUT-de Sitter spacetimes and conformal Killing-Yano tensor2008

    • Author(s)
      大田武志
    • Organizer
      セミナー
    • Place of Presentation
      大阪大学素粒論研究室
    • Year and Date
      2008-07-22
    • Related Report
      2008 Final Research Report
  • [Presentation] Kerr-NUT-de Sitter spacetimes and conformal Killing Yano tensor2008

    • Author(s)
      大田 武志
    • Organizer
      セミナー
    • Place of Presentation
      大阪大学素粒子論研究室
    • Year and Date
      2008-07-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Holography of non-relativistic string on AdS5xS52008

    • Author(s)
      阪口真
    • Organizer
      SUSY2008
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-06-21
    • Related Report
      2008 Final Research Report
  • [Presentation] 高次元ブラックホール幾何学と佐々木-Einstein計量2008

    • Author(s)
      安井幸則
    • Organizer
      セミナー
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Year and Date
      2008-05-19
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Nambu-Goto Like Action for AdS5xS5 Superstrings in the Generalized Light-Cone Gauge2008

    • Author(s)
      大田武志
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Related Report
      2008 Final Research Report
  • [Presentation] 佐々木-Einstein計量とAdS/CFT対応2008

    • Author(s)
      安井幸則
    • Organizer
      日本物理学会・数学会合同セッション招待講演
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-22
    • Related Report
      2008 Final Research Report
  • [Presentation] 佐々木-Einstein多様体とAdS/CFT対応2008

    • Author(s)
      安井 幸則
    • Organizer
      日本数学会・日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] Non-Commutative geometry2008

    • Author(s)
      橋本義武
    • Organizer
      宿泊型研究会「ブラックホール,佐々木-EinsteinそしてAdS/CFT対応」
    • Place of Presentation
      岡山菊乃野旅館
    • Year and Date
      2008-02-16
    • Related Report
      2008 Final Research Report
  • [Presentation] ブラックホールの幾何学と佐々木-Einstein多様体2008

    • Author(s)
      安井幸則
    • Organizer
      宿泊型研究会「ブラックホール,佐々木-EinsteinそしてAdS/CFT対応」
    • Place of Presentation
      岡山菊乃野旅館
    • Year and Date
      2008-02-15
    • Related Report
      2008 Final Research Report
  • [Presentation] Some properties of Kerr-NUT-de Sitter spacetime2008

    • Author(s)
      大田武志
    • Organizer
      大阪市立大学数学研究所特別賞受賞講演
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2008-01-30
    • Related Report
      2008 Final Research Report
  • [Presentation] 5次方程式と正20面体2008

    • Author(s)
      橋本義武
    • Organizer
      高校生と社会人のための現代数学入門講座・新春特別講義
    • Place of Presentation
      京都大学理学部
    • Year and Date
      2008-01-12
    • Related Report
      2008 Final Research Report
  • [Presentation] Conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness2007

    • Author(s)
      安井幸則
    • Organizer
      Progress of String Theory and Quantum Field Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2007-12-09
    • Related Report
      2008 Final Research Report
  • [Presentation] Tilting sheaves and D-affinity2007

    • Author(s)
      橋本義武
    • Organizer
      研究集会「函館幾何セミナー」
    • Place of Presentation
      KKRはこだて
    • Year and Date
      2007-11-15
    • Related Report
      2008 Final Research Report
  • [Presentation] Conformal Killing-Yano tensor and Kerr-NUT-de Sitter black hole uniqueness2007

    • Author(s)
      安井幸則
    • Organizer
      第13回菅平複素幾何シンポジウム招待講演
    • Place of Presentation
      信州菅平高原ホテルゾンタック
    • Year and Date
      2007-10-25
    • Related Report
      2008 Final Research Report
  • [Presentation] Conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness2007

    • Author(s)
      安井幸則
    • Organizer
      微分幾何セミナー
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2007-10-10
    • Related Report
      2008 Final Research Report
  • [Presentation] Black Hole, Sasaki-Einstein Manifold and AdS/CFT Correspondence2007

    • Author(s)
      安井幸則
    • Organizer
      力学系と微分幾何学
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-09-13
    • Related Report
      2008 Final Research Report
  • [Presentation] Black Hole, Sasaki-Einstein Manifold and AdS/CFT Correspondence2007

    • Author(s)
      安井幸則
    • Organizer
      幾何セミナー
    • Place of Presentation
      大阪大学理学部数学科
    • Year and Date
      2007-06-25
    • Related Report
      2008 Final Research Report
  • [Presentation] Zpqクイバーゲージ理論と関連した話題について2007

    • Author(s)
      大田武志
    • Organizer
      セミナー
    • Place of Presentation
      岡山光量子科学研究所
    • Year and Date
      2007-06-12
    • Related Report
      2008 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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