Towards nonperturbative M-theory

迈向非微扰 M 理论

• 批准号: 12440060
• 负责人: YONEYA Tamiaki
• 金额: $ 5.95万
• 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 (B)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-12440060/
• 关键词: String theory; M-Theory; Quantum gravity; Holographic principle; Quantum field theory; Supersymmetry; PP-wave; Tachyon condensation; 超弦理論; M理論; AdS; CFT対応; holographic principle; 量子重力; 超対称性; タキオン凝縮; 行列理論; 非可換場の理論; 超重力理論; 統一理論

The main objective of this research project is to carry out various studies towards a concrete construction of nonperturbative formulation of the so-called M-theory. The M-theory is supposed to be a deeper theory behind superstring theory, which has been studied more than 30 years since its first discovery as a prime candidate for unifying two principal frameworks of fundamental physics, namely, quantum theory and relativity theory. In this project, we have developed various new methods for formulating string theories and their possible extensions towards M-theories. We have also found various new properties of string theories with respect to its space-time structure in the short-distance regime, and in particular, to symmetry properties, such as supersymmetry, conformal symmetry, holographic principle and space-time uncertanty principle.We have also discussed detailed dynamics of the D-brane degrees of freedom and supermembranes, which have been expected to be prime physical degrees of freedom of string/M-theories.

本研究项目的主要目的是对非微扰形式的所谓M-理论的具体构造进行各种研究。M理论被认为是超弦理论后面的更深层次的理论，超弦理论自第一次被发现以来，已经被研究了30多年，作为统一基础物理的两个主要框架，即量子理论和相对论的主要候选者。在这个项目中，我们开发了各种新的方法来建立弦理论及其可能的扩展到M-理论。我们还发现了弦理论在短距离区域的时空结构方面的各种新性质，特别是对称性，如超对称性、共形对称性、全息原理和时空不确定性原理。我们还讨论了D-膜自由度和超膜的详细动力学，它们有望成为弦/M-理论的主要物理自由度。

项目成果

Masako Asano: "PP-Wave Holography for Dp-Brane Backgrounds"Nucl.Phys.B. 678. 169-232 (2004)

Masako Asano：“Dp 膜背景的 PP 波全息术”Nucl.Phys.B。

Y.Kazama: "Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory II"Class.Quant.Grav.. 18. 5545-5560 (2001)

Y.Kazama：“矩阵理论 II 中的完全离壳有效作用及其超对称性”Class.Quant.Grav.. 18. 5545-5560 (2001)

K.Itoh: "Novel Approach to Super Yang-Mills Theory on Lattice : Exact fermionic symmetry and 'Ichimatsu' pattern"JHEP. 0302. 033 (2003)

K.Itoh：“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”JHEP。

Koji Hashimoto: "Realization of brane descent relations in effective theories"Phys.Rev.D. 66. 026001 (2002)

桥本浩二：“有效理论中膜血统关系的实现”Phys.Rev.D.

Koji Hashimoto: "Dynamical Decay of Brane-Antibrane and Dielectric Brane"JHEP. 0207. 035 (2002)

桥本浩二：“膜反膜和介电膜的动态衰变”JHEP。