Emergence of Integrability in Gauge Theory and String Theory and Nonperturbative Effects

规范理论和弦理论中可积性的出现以及非微扰效应

• 批准号: 20540278
• 负责人: ITOYAMA Hiroshi
• 金额: $ 2.83万
• 依托单位: Osaka City University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2008
• 资助国家: 日本
• 起止时间: 2008 至 2010
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20540278/
• 关键词: integral system; Seiberg-Witten curve; prepotential; Whitham hierarchy; USp matrix model; partial susy breaking; quiver matrix model; Nekrasov function; integrable system; Partial susy breaking; AdS_5x S^5 superstring; lightcone gauge

1) Elucidated the deviation from BDS conjecture first in the world analytically. 2) Established the low energy theorem for the NG fermion in the model of Fujiwara-Itoyama-Sakaguchi. 3) In the USp matrix model of Itoyama - Tokura, we showed that the self-interaction between a spacetime point and its image is attractive in the long distances and repulsive in the short distances. Suggests the formation of 4 dimensional spacetime in this model. 4) 2d-4d connection, equivalence established between the spectral curve of the quiver matrix model and that of SW curve of Gaiotto-Witten type. 0d-4d dictionary was established.

1)在国际上首次解析地阐明了对BDS猜想的偏离。2)建立了Fujiwara-Itoyama-Sakaguchi模型中NG费米子的低能定理。3)在Itoyama-Tokura的USp矩阵模型中，我们证明了时空点与它的像之间的自相互作用在长距离上是吸引的，在短距离上是排斥的。暗示了在这个模型中四维时空的形成。4)2d-4d连接，建立了Gaiotto-Witten型SW曲线与非Gaiotto-Witten型SW曲线的谱曲线等价性。建立了0 d-4d字典。

项目成果

Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle.

边界环或用多边形边界条件构造近似 NG 解的方法。

• 发表时间: 2008
• 期刊: Prog. Theor. Phys. 120
• 作者: H. Itoyama;A. Morozov
• 通讯作者: A. Morozov

Nambu-Goto Like Action for the AdS_5 X S^5 Superstrings in the Generalized Light-Cone Gauge.

广义光锥测量仪中 AdS_5 X S^5 超弦的 Nambu-Goto 类似动作。

• 发表时间: 2008
• 期刊: Prog. Theor. Phys. 119
• 作者: H. Itoyama;T. Oota;R. Yoshioka
• 通讯作者: R. Yoshioka

南部陽一郎先生と「対称性の自発的破れ」

Yoichiro Nambu 教授和“对称性自发破缺”

• 作者: H. Itoyama;T. Oota;R. Yoshioka;糸山浩;糸山浩司;糸山浩;糸山浩司;糸山浩;糸山浩;糸山浩司;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩;糸山浩
• 通讯作者: 糸山浩

The Quiver Matrix Model and 2d-4d Conformal Connection

Quiver 矩阵模型和 2d-4d 保角连接

• 发表时间: 2010
• 期刊: Prog.Theor.Phys 123
• 作者: H.Itoyama;K. Maruyoshi;T. Oota
• 通讯作者: T. Oota

Nambu-Goto Like Action for the AdS5 × S5 Superstrings in the Generalized Light-Cone Gauge

广义光锥规中 AdS5 × S5 超弦的 Nambu-Goto 类似作用

• 发表时间: 2008
• 期刊: Prog.Theor. Phys 119
• 作者: H.Itoyama;T. Oota;R. Yoshioka
• 通讯作者: R. Yoshioka