Non-perturbative formulation of superstring by the non-commutative geometric approach.

通过非交换几何方法对超弦进行非微扰表述。

• 批准号: 12640256
• 负责人: KATO Mitsuhiro
• 金额: $ 2.24万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640256/
• 关键词: superstring; non-commutative geometry; space-time uncertainty; duality; M-theory; matrix model; lattice gauge theory; supersymmetry; 超膜理論

Supersymmetric gauge theory on a lattice (Kato): In order to understand non-perturbative aspects of the supersymmetric gauge theory, we tried to formulate the system on a lattice, which has been a long-standing but difficult problem. We have succeeded to construct a theory that has a certain fermionic symmetry whose supersymmetry part survives in the continuum limit. It gives us a hope that the full supersymmetry can be formulated on a lattice.Supermembrane and matrix string theory (Yoneya): We have shown the a certain equivalence between the zero-dimensional matrix theory obtained by taking a infinite momentum frame in the compactified M-theory and the matrinx string theory obtained by wrapping the membrane around eleventh direction. This will suggest how the eleven-dimensional Lorentz invariance can be realized in the matrix formulation of M-theory.

格点上的超对称规范理论（加藤）：为了理解超对称规范理论的非微扰方面，我们试图在格点上建立系统，这是一个长期存在但困难的问题。我们成功地构建了一个具有一定费米子对称性的理论，其超对称部分在连续极限中幸存。超膜和矩阵弦理论（米谷）：我们已经证明了在紧致M理论中取无限动量框架得到的零维矩阵理论和在第十一方向上缠绕膜得到的矩阵弦理论之间的等价性。这将提示如何在M理论的矩阵表述中实现11维洛伦兹不变性。

项目成果

World-Sheet String Duality and the Hidden Supersymmetry

世界表弦对偶性和隐藏的超对称性

• 发表时间: 2002
• 期刊: Am. Inst. Phys. Proc. 607
• 作者: T.Yoneya

Super Yang-Mills Theory on Lattice and the Transformation

格子的超杨-米尔斯理论及其变换

• 发表时间: 2002
• 期刊: Nucl.Phys.Proc.Suppl. 106-107
• 作者: Katsumi Itoh;Mitsuhiro Nato;Hideyuki Sawanaka;Hiroto So;Naoya Ukita
• 通讯作者: Naoya Ukita

From Supermembrane to Matrix String

从超膜到矩阵弦

• 发表时间: 2001
• 期刊: Nucl. Phys. B 619
• 作者: Y.Sekino;T.Yoneya
• 通讯作者: T.Yoneya

Particle theory equivalent to open string

相当于开弦的粒子论

• 发表时间: 2001
• 作者: 加藤光裕;長岡悟史;大島健一
• 通讯作者: 大島健一

Novel Approach to Super Yang-Mills Theory on Lattice -Exact fermionic symmetry and "Ichimatsu" pattern-.

超杨米尔斯晶格理论的新方法 - 精确的费米子对称性和“Ichimatsu”模式 -。

• 发表时间: 2008
• 期刊: JHEP 0302
• 作者: Itoh;Kato;Sawanaka;So;Ukita
• 通讯作者: Ukita