Integrable Systems and Particle Physics

可积系统和粒子物理

• 批准号: 07640403
• 负责人: ITOYAMA Hiroshi
• 金额: $ 1.34万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640403/
• 关键词: integrable system; super-Wilson loop; Bethe ansatz; loop equation; Schwinger-Dyson equation; D-brane; tadpole; orientifold; 超対称性; macroscopic loop amplitude; matrix model; supersymmetric gauge theory; Calogero system; fusion rule; Picard-Fuc

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.

在1995和1996学年，弦理论和超对称场论取得了很大的进展，我的研究对象也发生了不同程度的转移，但我在弦理论、Susy和精确可解模型方面取得了一些成就。1)1995学年：我完成了关于Bethe ansatz方程的根在变扭角下的运动的论文。我发现了来自两个矩阵模型的宏观振幅的融合规则，并将其推广到交叉对称和接触相互作用的结果。这些在三篇论文中进行了总结。和莫洛佐夫一起，我写了两篇关于可积性和Seiberg-Witten理论的论文，特别是椭圆Calogero系统的情况。2)1996学年：受与莫洛佐夫的上述工作的启发，我基于超级威尔逊环变量导出了超级Yang-Mills的Schwinger-Dyson方程。(与Takashino的两篇论文)。这个美丽的方程式将有几个重要的含义。我还研究了D-膜创造的局域蝌蚪的含义。我阐明了它与我之前建立的I型弦的无限取消的关系。我还写了一篇关于超对称规范理论中的接触相互作用的论文。

项目成果

H.Itoyama et al.: "Schwinger-Dyson and large N_c loop equation for supersymmetric Yang-Mills theory" Physics Letters B. 381. 163-168 (1996)

H.Itoyama 等人：“超对称 Yang-Mills 理论的 Schwinger-Dyson 和大 N_c 环方程”《物理快报》B. 381. 163-168 (1996)

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)

N. Fumita 等人：“变化扭转下 XXZ 自旋链中弦解的运动”国际现代物理学杂志 A. 第 12 卷，第 4 期。

H.Itoyama, A.Morozov: "Prepotential and the Seiberg-Witten theory" Nuclear Physics B. 488. [PM] 1-0 (1997)

H.Itoyama、A.Morozov：“预势和 Seiberg-Witten 理论”核物理 B. 488。[PM] 1-0 (1997)

M.Anazawa, A.Ishikawa, H.Itoyama: "Continuum annulus amplitudes from the two-matrix model" Physical Review D. 52・10. 6016-6019 (1995)

M.Anazawa、A.Ishikawa、H.Itoyama：“来自二矩阵模型的连续环振幅”物理评​​论 D. 52・10 (1995)。

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)

M.Anazawa、A.Ishikawa、H.Itoyama：“宏观三环振幅和两矩阵模型的融合规则”《物理快报》B. 362. 59-64 (1995)