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2007 Fiscal Year Final Research Report Summary

String field theory and D-brane

Research Project

Project/Area Number 16540232
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 InstitutionThe University of Tokyo

Principal Investigator

MATSUO Yutaka  The University of Tokyo, Graduate School of Science, Associate Professor (50202320)

Project Period (FY) 2004 – 2007
Keywordsstring field theory / subcritical string / D brane / open string sector / Calogero equation / M theory / Nambu bracket / UV / IR mixing
Research Abstract

We studied string field theory and the subcritical quantum gravity which is described by the matrix quantum mechanics. In particular, we focused on the open string sector where the D-brane plays the fundamental role. Matrix quantum mechanics is defined by the quantum mechanical system where matrix is used as the dynamical degree of freedom. So far, people have studied their closed string sector. These degree of freedom is known to be reduced to the free fermion and extensive study was possible for them. On the other hand, the open string which is related the D-brane is described by so called non-singlet sector. The system is then governed by the Calogero system with interactions. Because of this interaction, the analysis of the system becomes far more difficult and there have not been many studies. In order to treat this issue, in this study, we focused on the infinite set of conserved charges and succeeded to construct the states which diagonalize all the charges. In this way, we clarified the solvability of the open string sector which has not been so clear. We also studied M(embrane) theory in the 3 form flux background. This is a generalization of the string motion in the presence of two form flux. So far, this problem has been studied so called Nambu bracket. In this study, we have studied the motion of point like particle, which will spread when it moves in the flux. From this observation, we could define the vertex which describe the interaction of the particle. We also studied UV/IR mixing which was studied extensively in the noncommutative space to our background.

  • Research Products

    (16 results)

All 2008 2007 2006 2005 2004 Other

All Journal Article (16 results) (of which Peer Reviewed: 8 results)

  • [Journal Article] Scattering of long folded strings and mixed correlators in the two-matrix model2008

    • Author(s)
      J.-E. Bourgine, Kazuo Hosomichi, I. Kostov, Y. Matsuo
    • Journal Title

      Nuclear Physics B 795

      Pages: 243-276

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Boundary state of superstring in open string channel2008

    • Author(s)
      Yosuke Imamura, Hiroshi Isono, Yutaka Matsuo
    • Journal Title

      Progress for Theoretical Physics (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Scattering of long folded strings and mixed correlators in the two-matrix model2008

    • Author(s)
      J. -E. Bourgine, Kazuo Hosomichi, I. Kostov, Y. Matsuo
    • Journal Title

      Nucl. Phys B795

      Pages: 243-276

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Symmetry and Integrability of Non-Singlet Sectors in Matrix Quantum Mechanics2007

    • Author(s)
      Yasuyuki Hatsuda, Yutaka Matsuo
    • Journal Title

      Journal of Physics A 40

      Pages: 1633-1660

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] A Toy model of open membrane field theory in constant 3-form flux2007

    • Author(s)
      Pei-Ming Ho, Yutaka Matsuo
    • Journal Title

      General Relativity and Gravitation 39

      Pages: 913-944

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Symmetry and Integrability of Non-Singlet Sectors in Matrix Quantum Mechanics2007

    • Author(s)
      Y. Hatsuda, Y. Matsuo
    • Journal Title

      J. Physics A40

      Pages: 1633-1660

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A Toy model of open membrane field theory in constant 3-form flux2007

    • Author(s)
      Pei-Ming Ho, Yutaka Matsuo
    • Journal Title

      Gen. Rel. Grav 39

      Pages: 913-944

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Boundary states in open string channel and CFT near corner2006

    • Author(s)
      Y. Imamura, H. Isono, Y. Matsuo
    • Journal Title

      Progress Theoretical Physics 115

      Pages: 979-1002

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Boundary states in open string channel and CFT near corner2006

    • Author(s)
      Y. Imamura, H. Isono, Y. Matsuo
    • Journal Title

      Prog. Theor. Phys 115

      Pages: 979-1002

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Cardy states, factorization and idempotency in closed string field theory2005

    • Author(s)
      I. Kishimoto, Y. Matsuo
    • Journal Title

      Nuclear Physics B 707

      Pages: 3-42

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Boundary state in open string channel and open/closed string field theoty2005

    • Author(s)
      Hiroshi Isono, Yutaka Matsuo
    • Journal Title

      Lie Theory and Its Applications in Physics LT-6

      Pages: 15-21

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Cardy states, factor-ization and idempotency in closed string field theory2005

    • Author(s)
      Isao Kishimoto, Yutaka Matsuo
    • Journal Title

      Nucl. Phys B707

      Pages: 3-42

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Boundary state in open string channel and open/closed string field theory2005

    • Author(s)
      Hiroshi Isono, Yutaka Matsuo
    • Journal Title

      Lie Theory and Its Applications in Physics LT-6

      Pages: 15-21

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Cardy states as idempotents of fusion ring in string field theory2004

    • Author(s)
      I. Kishimoto, Y. Matsuo
    • Journal Title

      Physics Letters B 590

      Pages: 303-308

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Cardy states as idempotents of fusion ring in string field theory2004

    • Author(s)
      Isao Kishimoto, Yutaka Matsuo
    • Journal Title

      Phys. Lett B590

      Pages: 303-308

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Boundary state of superstring in open string channel

    • Author(s)
      Yosuke Imamura, Hiroshi Isono, Yutaka Matsuo
    • Journal Title

      Progr. Theor. Phys (in press)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2010-02-04  

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