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.

关于晶格（KATO）的超对称量规理论：为了理解超对称仪表理论的非扰动方面，我们试图在晶格上制定系统，这是一个长期但困难的问题。我们已经成功地构建了一种具有一定的费米子对称性的理论，其超对称部分在连续限制中幸存下来。它使我们希望能够在晶格上制定完整的超对称性。Supermmbrane和矩阵弦理论（Yoneya）：我们已经显示了通过在压缩符号和Matrinx string Troneput中通过在Evernembrane中获得的零维矩阵理论之间的零维矩阵理论之间的一定等效性，该理论是通过在levernient的范围中获得的。这将表明如何在M理论的矩阵公式中实现11维洛伦兹的不变性。

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

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

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

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

H.Awata, M.Li, D.Minic, Tamiaki Yoneya: "On the Quantization of Nambu Brackets"JETP. 02. 013-028 (2001)

H.Awata、M.Li、D.Minic、Tamiaki Yoneya：“论南部括号的量化”JETP。