Analysis of D-brane and Black hole by nonperturbative formulation of string theory

• Project/Area Number: 20540253
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: The University of Tokyo
• Principal Investigator: MATSUO Yutaka 東京大学, 大学院・理学系研究科, 准教授 (50202320)
• Project Period (FY): 2008 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
• Keywords: 超弦理論 / M理論 / 双対性 / Dブレーン / 超対称ゲージ理論 / 量子重力 / ブラックホール / 超対称性 / ゲージ理論 / 無限次元対称性 / ブレーン / 対称性 / W代数 / インスタントン / 戸田方程式 / ストリング理論 / 弦の場の理論 / 2次元可解系 / 共形対称性 / 戸田理論 / gerbe / 高次の幾何学 / スーパーストリング / Lie 3-代数 / U双対性 / Seiberg-Witten理論 / Baer-Lambert作用 / M2ブレーン / Lie3代数 / 南部括弧式 / ローレンツ符号の代数 / D2ブレーン / M5ブレーン

Research Abstract

In order to clarify the nonperturbative properties of superstring theory, we focused on M theory, in particular, we construct the theory which describe multiple M-branes. We also established the correspondence between 4D super Yang-Mills theory and 2D gravity theory as an important consequence of M theory.

Research Products

• [Journal Article] Virasoro constraint for Nekrasov instanton partition function (2012)
  • Author(s): 菅野正一、松尾泰、張弘
  • Journal Title: Journal of High Energy Physics Volume: 1210 Issue: 10 Pages: 97-97
  • DOI: 10.1007/jhep10(2012)097
  • Peer Reviewed
• [Journal Article] Note on non-Abelian two-form gauge field (2012)
  • Author(s): P.-M. Ho , Y.Matsuo
  • Journal Title: JHEP Volume: 1209 Issue: 9 Pages: 75-75
  • DOI: 10.1007/jhep09(2012)075
  • Peer Reviewed
• [Journal Article] Inner products of Bethe states as partial domain wall partition functions (2012)
  • Author(s): Ivan Kostov, Yutaka Matsuo
  • Journal Title: JHEP Volume: 1210 Issue: 10 Pages: 168-168
  • DOI: 10.1007/jhep10(2012)168
  • Peer Reviewed
• [Journal Article] W_<1+∞> algebra as a symmetry behind AGT relation (2011)
  • Author(s): Shoichi Kanno, Yutaka Matsuo, Shotaro Shiba
  • Journal Title: Physical Review D Volume: 84 Issue: 2 Pages: 26007-26007
  • DOI: 10.1103/physrevd.84.026007
  • Peer Reviewed
• [Journal Article] A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions (2011)
  • Author(s): Pei-Ming Ho, Kuo-Wei Huang, Yutaka Matsuo
  • Journal Title: JHEP Volume: 1107 Issue: 7 Pages: 21-21
  • DOI: 10.1007/jhep07(2011)021
• [Journal Article] A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions (2011)
  • Author(s): P.M.Ho, K.W.Huang, Y.Matsuo
  • Journal Title: JHEP Volume: 1107 Pages: 21-21
  • Peer Reviewed
• [Journal Article] W(1+infinity) algebra as a symmetry behind AGT relation (2011)
  • Author(s): S.Kanno, Y.Matsuo, S.Shiba
  • Journal Title: Physical Review D Volume: 84 Pages: 26007-26007
  • Peer Reviewed
• [Journal Article] Selberg Integral and SU(N) AGT Conjecture (2011)
  • Author(s): H.Zhang, Y.Matsuo
  • Journal Title: JHEP Volume: 1112 Pages: 106-106
  • Peer Reviewed
• [Journal Article] N=2 gauge theories and degenerate fields of Toda theory (2010)
  • Author(s): Shoichi Kanno, Yutaka Matsuo, Shotaro Shiba, Yuji Tachikawa
  • Journal Title: Phys.Rev Volume: D81 Issue: 4 Pages: 46004-46004
  • DOI: 10.1103/physrevd.81.046004
• [Journal Article] (2010)
  • Author(s): S.Kanno, Y.Matsuo, S.Shiba, Y.Tachikawa
  • Journal Title: Phys.Rev. D81 Pages: 46004-46004
• [Journal Article] (2010)
  • Author(s): S.Kanno, Y.Matsuo, S.Shiba
  • Journal Title: Phys.Rev. D82 Pages: 66009-66009
• [Journal Article] Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver (2010)
  • Author(s): 菅野正一, 松尾泰, 柴正太郎
  • Journal Title: Physical Review D Volume: 82
  • Peer Reviewed
• [Journal Article] N=2 gauge theories and degenerate fields of Toda theory. (2010)
  • Author(s): S.Kanno, Y.Matsuo, S.Shiba, Y.Tachikawa
  • Journal Title: Physical Review D 81 Pages: 46004-46004
  • Peer Reviewed
• [Journal Article] Lorentzian Lie (3-)algebra and toroidal compactification of M/stringtheory (2009)
  • Author(s): Pei-Ming Ho, Yutaka Matsuo, Shotaro Shiba
  • Journal Title: JHEP Volume: 0903 Issue: 03 Pages: 45-45
  • DOI: 10.1088/1126-6708/2009/03/045
• [Journal Article] (2009)
  • Author(s): P.-M.Ho, Y.Matsuo, S.Shiba
  • Journal Title: JHEP 0903 Pages: 45-45
• [Journal Article] (2009)
  • Author(s): T.Kobo, Y.Matsuo, S.Shiba
  • Journal Title: JHEP 0906 Pages: 53-53
• [Journal Article] Aspects of U-duality in BLG models with Lorentzian metric 3-algebras (2009)
  • Author(s): T.Kobo, Y.Matsuo, S.Shiba
  • Journal Title: JHEP 0906 Pages: 53-53
  • Peer Reviewed
• [Journal Article] Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory (2009)
  • Author(s): P.M. Ho, Y.Matsuo, S.Shiba
  • Journal Title: JHEP 0903 Pages: 45-45
  • Peer Reviewed
• [Journal Article] Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes (2008)
  • Author(s): Chong-Sun Chu, Pei-Ming Ho, Yutaka Matsuo, Shotaro Shiba
  • Journal Title: JHEP Volume: 0808 Pages: 76-76
• [Journal Article] M5-brane in three-form flux and multiple M2-branes (2008)
  • Author(s): Pei-Ming Ho, Yosuke Imamura, Yutaka Matsuo, Shotaro Shiba
  • Journal Title: JHEP Volume: 0808 Issue: 08 Pages: 14-14
  • DOI: 10.1088/1126-6708/2008/08/014
• [Journal Article] M2 to D2 revisited (2008)
  • Author(s): Pei-Ming Ho, Yosuke Imamura, Yutaka Matsuo
  • Journal Title: JHEP Volume: 0807 Issue: 07 Pages: 3-3
  • DOI: 10.1088/1126-6708/2008/07/003
• [Journal Article] M5 from M2 (2008)
  • Author(s): Pei-Ming Ho, Yutaka Matsuo
  • Journal Title: JHEP Volume: 0806 Issue: 06 Pages: 105-105
  • DOI: 10.1088/1126-6708/2008/06/105
• [Journal Article] (2008)
  • Author(s): P.-M.Ho, R.-C.Hou, Y.Matsuo
  • Journal Title: JHEP 0806 Pages: 20-20
• [Journal Article] (2008)
  • Author(s): P.-M.Ho, Y.Matsuo
  • Journal Title: JHEP 0806 Pages: 105-105
• [Journal Article] (2008)
  • Author(s): P.-M.Ho, Y.Imamura, Y.Matsuo
  • Journal Title: JHEP 0807 Pages: 3-3
• [Journal Article] (2008)
  • Author(s): P.-M.Ho, Y.Imamura, Y.Matsuo, S.Shiba
  • Journal Title: JHEP 0808 Pages: 14-14
• [Journal Article] (2008)
  • Author(s): C.-S.Chu, P.-M.Ho, Y.Matsuo, S.Shiba
  • Journal Title: JHEP 0808 Pages: 76-76
• [Journal Article] Lie 3-algebra and multiple M2-branes. (2008)
  • Author(s): P.M.Ho, R.C.Hou, Y.Matsuo
  • Journal Title: JHEP 0806 Pages: 20-20
  • Peer Reviewed
• [Journal Article] M5 from M2 (2008)
  • Author(s): P.M.Ho, Y.Matsuo
  • Journal Title: JHEP 0806 Pages: 105-105
  • Peer Reviewed
• [Journal Article] M2 to D2 revisited (2008)
  • Author(s): P.M. Ho, Y.Imamura, Y.Matsuo
  • Journal Title: JHEP 0807 Pages: 3-3
  • Peer Reviewed
• [Journal Article] M5-brane in three-form flux and multiple M2-branes (2008)
  • Author(s): P.M. Ho, Y.Imamura, Y. Matsuo, S.Shiba
  • Journal Title: JHEP 0808 Pages: 14-14
  • Peer Reviewed
• [Journal Article] Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes. (2008)
  • Author(s): C.S. Chu, P. M. Ho, Y. Matsuo, S. Shiba
  • Journal Title: JHEP 0808 Pages: 76-76
  • Peer Reviewed
• [Journal Article] Boundary state of superstring in open string channel. (2008)
  • Author(s): Y. Imamura, H.Isono, Y. Matsuo
  • Journal Title: Int.J.Mod.Phys A23 Pages: 2253-2254
  • NAID: 110006664175
• [Journal Article] Long open string and non-singlet sector in matrix quantum mechanics. (2008)
  • Author(s): Y. Matsuo
  • Journal Title: Int.J.Mod.Phys A23 Pages: 2091-2098
• [Presentation] A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions (2012)
  • Author(s): 松尾泰
  • Organizer: Mathematics and Applications of Branes in String and M-theory
  • Place of Presentation: ケンブリッジ大学、ケンブリッジ、イギリス(招待講演)
  • Year and Date: 2012-03-12
• [Presentation] Mathematics and Applications of Branes in String and M-theor (2012)
  • Author(s): Yutaka Matsuo
  • Organizer: A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
  • Place of Presentation: Cambridge University
  • Year and Date: 2012-03-06
• [Presentation] A nonabelian self-dual gauge theory in 5+1dimensions (2012)
  • Author(s): Yutaka Matsuo
  • Organizer: Tokyo-Yonsei Joint workshop
  • Place of Presentation: Yonsei University (Seoul)
  • Year and Date: 2012-02-17
• [Presentation] Nonabelian gauge symmetry for two-form gauge fields and its applications (2012)
  • Author(s): Yutaka Matsuo
  • Organizer: 日本物理学会
  • Place of Presentation: 京都産業大学
• [Presentation] Selberg integral and SU(N) AGT conjecture (2011)
  • Author(s): Yutaka Matsuo
  • Organizer: Invited by Prof
  • Place of Presentation: Chaiho Rim, Sogan University (Seoul)
  • Year and Date: 2011-11-30
• [Presentation] Perspectives in Deformation Quantization and Noncommutative Geometry (2010)
  • Author(s): Yutaka Matsuo
  • Organizer: Application of Nambu bracket toM-theory
  • Place of Presentation: Kyoto University
  • Year and Date: 2010-11-12
• [Presentation] Quantum Theory andSymmetries 6 (2009)
  • Author(s): Yutaka Matsuo
  • Organizer: Lorentzian Lie3-algebra and toroidal compactification of M theory
  • Place of Presentation: Kentucky University
  • Year and Date: 2009-07-21
• [Presentation] Lorentzian Lie(3-)algebra and toroidal compactification of M/string theory (2009)
  • Author(s): Y.Matsuo
  • Organizer: Quantum Theory and Symmetry 6
  • Place of Presentation: ケンタッキー大学(米国)
  • Year and Date: 2009-07-21
• [Presentation] Lorentian metric Lie 3-algebra and compactification of M-theory (2009)
  • Organizer: ケンタッキー大学シンポジウムQTS6
  • Place of Presentation: 招待講演
• [Presentation] Lorentzian metric 3-algebra and compactification of M-theory (2009)
  • Organizer: SI2009研究会
• [Presentation] JPS meeting (2008)
  • Author(s): Yutaka Matsuo
  • Organizer: Nambu Bracket as a new gauge symmetry in M-theory
  • Place of Presentation: Yamagata University
  • Year and Date: 2008-09-22
• [Presentation] Nambu bracket as a new gauge symmetry in M theory (2008)
  • Author(s): 松尾泰
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 山形大学
  • Year and Date: 2008-09-22
• [Presentation] Multiple M2 branes and Nambu bracket (2008)
  • Organizer: 基礎物理学研究所研究会
  • Place of Presentation: 総合講演
• [Presentation] Multiple M2 branes and Nambu bracket (2008)
  • Organizer: 日本物理学会
  • Place of Presentation: 特別講演
• [Presentation] Progress of String theory and Quantum field theory (2007)
  • Author(s): Yutaka Matsuo
  • Organizer: Long open string and non-singlet sector in Matrix quantum mechanics
  • Place of Presentation: Osaka City University
  • Year and Date: 2007-12-07
• [Remarks]
  • URL: http://www-hep.phys.s.u-tokyo.ac.jp/~matsuo/