Universality of Superstring Matrix Model

超弦矩阵模型的普适性

• 批准号: 10640254
• 负责人: KITAZAWA Yoshihisa
• 金额: $ 1.6万
• 依托单位: High Energy Accelerator research Organization (KEK) (1999-2001)Tokyo Institute of Technology (1998)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640254/
• 关键词: Super sting; Nonperturbative fornmlation; matrix model; noncommutative Geometry; Gauge Theory; Wilson Lines; IIB行列模型; 非可換幾何学; Wilson Line; Noncommutative; 超動理論; Wilson lines; 非可換時空; 非可換場の理論; 非摂動偏的定式化

I have proposed IIB matrix model as a nonperturbative formulation of superstring theory with Ishibashi, Kawai and Tsuchiya. This model may be related to light-cone string field theory through loop equations. This model contains ten Hermitian matrices which may be interpreted as pace-time coordinates. In order to derive realistic four dimensional space-time, the scale of eigen value distributions of four matrices must become infinite in comparison to the remaining six matrices. It has been pointed out that IIB matrix model contains a natural mechanism for it. Furthermore it must contain gauge theories for a unified theory of interactions. By expanding it around a noncommutative space-time, we can derive noncommutative gauge theory. We have further constructed gauge invariant observables (Wilson lines). Since Wilson lines couple gauge fields to closed string modes, they play an important role in relating matrix models to gravitation. We have studied stringy behavior of their correlation functions.

我与 Ishibashi、Kawai 和 Tsuchiya 一起提出了 IIB 矩阵模型作为超弦理论的非微扰表述。该模型可能通过环方程与光锥弦场论相关。该模型包含十个埃尔米特矩阵，可以将其解释为步速-时间坐标。为了导出真实的四维时空，与其余六个矩阵相比，四个矩阵的特征值分布的规模必须变得无限大。有人指出，IIB矩阵模型蕴藏着其自然机制。此外，它必须包含统一相互作用理论的规范理论。通过将其扩展到非交换时空，我们可以推导出非交换规范理论。我们进一步构造了规范不变的可观测量（威尔逊线）。由于威尔逊线将规范场与闭合弦模式耦合，因此它们在将矩阵模型与引力联系起来方面发挥着重要作用。我们研究了它们的相关函数的弦行为。

项目成果

A.Phav, Y.Kitazawa: "High-Energy Behavior of Wilson Lines"JHEP. 0102. 004 (2001)

A.Phav，Y.Kitazawa：“威尔逊线的高能行为”JHEP。

*: "*"Nue. Phys.. B573. 573-573 (2000)

*：“*”Nue。

N.Ishibashi,S.Iso,H.Kawai,Y.Kitazawa: "Wilson loops in non-commutative Yang-Mills"Nucl.Phys. B573. B573. 573-593 (2000)

N.Ishibashi，S.Iso，H.Kawai，Y.Kitazawa：“非交换杨米尔斯中的威尔逊循环”Nucl.Phys。

A.Dhar, Y.Kitazawa: "High Energy Behavior of Wilson Lines"JHEP. O102. 004 (2001)

A.Dhar、Y.Kitazawa：“威尔逊线的高能行为”JHEP。

N.Ishibashi,S.Iso,H.Kawai,Y.Kitazawa: "String Study scale in noncommutative Yang-Mills"Nucl.Phys.. B583. 159-181 (2000)

N.Ishibashi，S.Iso，H.Kawai，Y.Kitazawa：“非交换性 Yang-Mills 中的弦研究量表”Nucl.Phys.. B583。