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1996 Fiscal Year Final Research Report Summary

Integrable Systems and Particle Physics

Research Project

Project/Area Number 07640403
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionOsaka University

Principal Investigator

ITOYAMA Hiroshi  Graduate School of Science, Osaka University, Associate Professor, 大学院・理学研究科, 助教授 (30243158)

Project Period (FY) 1995 – 1996
Keywordsintegrable system / super-Wilson loop / Bethe ansatz / loop equation / Schwinger-Dyson equation / D-brane / tadpole / orientifold
Research Abstract

During the academic years of 1995 and 1996, a lot of progress have been made instring theory and supersummetric field theories and my research subjects have been shifted to some extent accordingly.
Nontheless, I could make several accomplishments in string theory, susy and exactly solvabel models.
1) 1995 academic year : I completed the paper of the motion of the root of Bethe ansatz equation under varing twist angle. I discovered the fusion rules for the macroscopic amplitudes coming from the two matric model.
This was extended to the results on crossing symmetry and contact interactions. These are summarized in three papers. With Morozov, I wrote two papers on the integrability and Seiberg-Witten theory, in particlular the case of elliptic Calogero system.
2) 1996 academic year : motivated by the above work with Morozov, I derived the Schwinger-Dyson equation for super Yang-Mills based on the super Wilson-loop variable. (two papers with Takashino). This beautiful equation will have several important implications.
I also investigated the implications of localized tadpoles created by D-branes. I made clear its relationship with infinity cancellation of Type I string established by myself before. I also wrote a paper on contact interactions in supersymmetric gauge theory.

  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] M. Anazawa et al.: "Continuum annulus amplitudes from the two-matrix model" Physical Review D. 52・10. 6016-6019 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M. Anazawa et al.: "Macroscopic three-loop amplitudes and the fusion rules from the two-matrix model" Physical Letters B. 362. 59-64 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M. Anazawa et al.: "Macroscopic n-loop amplitudes for minimal models coupled to two-dimensional gravity. Fusion rules and interactions" Nuclear Physics B. 471. 334-360 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N. Fumita et al.: "Motions of the String Solutions in the XXZ Spin Chain Under a Varying Twist" International Journal of Modern Physics A. Vol.12, No.4. 801-838 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Itoyama et al.: "Integrability and Seiberg-Witten theory Curves and periods" Nuclear Physics B. 477. 855-877 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Itoyama et al.: "Prepotential and the Seiberg-Witten theory" Nuclear Physics B. 488. £PM| 1-0 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M. Anazawa et al.: "Fusion Rules and Interactions for Macroscopic Loop Amplitudes" FRONTIERS IN QUANTIUM FIELD THEORY. 141-157 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Itoyama et al.: "Integrability and Seiberg-Witten Theory" FRONTIERS IN QUANTIUM FIELD THEORY. 301-324 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Itoyama et al.: "Schwinger-Dyson and large N_C loop equation for supersymmetric Yang-Mills theory" Physics Letters B. 381. 163-168 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Itoyama et al.: "Schwinger-Dyson Equation for Supersymmetric Yang-Mills Theory : Manifestly Supersymmetric Form" Progress of Theoretical Physics. (to appear). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Itoyama et al.: "N=2 Supermultiplet of Currents and Anomalous Transformations in Supersymmetric Gauge Theory" Modern Physics Letters A. (to appear). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y. Arakane et al.: "Infinity cancellation, type I' compactification and string S-matrix functional" Nuclear Physics B. 486・1, 2. 149-163 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Itoyama et al.: "FRONTIERS IN QUANTIUM FIELD THEORY" World Scientific, 422 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Anazawa, A.Ishikawa, H.Itoyama: "Continuum annulus amplitudes from the two-matrix model" Physical Review D. 52・10. 6016-6019 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Anazawa, A.Ishikawa, H.Itoyama: "Macroscopic three-loop amplitudes and the fusion rules from the two-matrix model" Physics Letters B. 362. 59-64 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Anazawa, H.Itoyama: "Macroscopic n-loop amplitude for minimal models coupled to two-dimensional gravity. Fusion rules and interactions" Nuclear Physics B. 471. 334-360 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Fumita, H.Itoyama, T.Oota: "Motions of the String Solutions in the XXZ Spin Chain Under a Varying Twist" International Journal of Modern Physics A. Vol.12, No.4. 801-838 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoyama, A.Morozov: "Integrability and Seiberg-Witten theory Curves and periods" Nuclear Physics B. 477. 855-877 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoyama, A.Morozov: "Prepotential and the Seiberg-Witten theory" Nuclear Physics B. 488. [PM] 1-0 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoyama, H.Takashino: "Schwinger-Dyson and large N_c loop equation for supersymmetric Yang-Mills theory" Physics Letters B. 381. 163-168 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoyama, H.Takashino Schwinger-Dyson: "Equation for Supersymmetric Yang-Mills Theory : Manifestly Supersymmetric Form" Progress of Theoretical Physics. (to appear). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoyama, M.Koike, H.Takashino: "N = 2 Supermultiplet of Currents and Anomalous Transformations in Supersymmetric Gauge Theory" Modern Physics Letters A. (to appear). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Arakane, H.Itoyama, H.Kunitomo, A.Tokura: "Infinity cancellation, Type I' Compactification and string S-matrix functional" Nuclear Physics B. 486・1,2. 149-163 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Anazawa, A.Ishikawa, H.Itoyama: Fusion Rules and Interactions for Macroscopic Loop Amplitudes in FRONTIERS IN QUANTIUM FIELD THEORY. World Scientific, 141-157 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoyama, A.Morozov: Integrability and Seiberg-Witten Theory in FRONTIERS IN QUANTIUM FIELD THEORY. World Scientific, 301-324 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoyama, M.Kaku, H.Kunitomo, M.Ninomiya & H.Shirokura: FRONTIERS IN QUANTIUM FIELD THEORY. World Scientific, 422 (1996)

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

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Published: 1999-03-09  

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