Study of Non-perturbative Properties of Superstring Theory

超弦理论非微扰性质研究

• 批准号: 10209204
• 负责人: KAZAMA Yoichi
• 金额: $ 6.66万
• 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 on Priority Areas (B)
• 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-10209204/
• 关键词: Matrix Model for M theory; Conformal Symmetry; Supersymmetry; AdS_3 Space-time; Supersymmetric Gauge Theory; Superstring; E_6 GUT; Conformal Supergravity; 位相的場の理論; 有理楕円曲面; 超重力理論; オービフォールド; コンパクト化; Matrix Theory; 超対称Ward恒等式; モジュラー不変性; ブラックホ

Kazama clarified the quantum mechanical origin of the conformal symmetry on the gauge theory side, which plays the pivotal role in the AdS/CFT correspondence. Further, he showed that conformal symmetry exists in a generalized sense in more general theories including the Matrix model for M theory. He then made, for the first time, a detailed study of the role of supersymmetry in determining the fully off-shell effective action of a DO particle. He obtained the complete effective action and the supersymmetry transformations at order 4 in the derivative expansion and rigorously proved a number of important non-renormalization theorems.Kato clarified how the large N divergence is related to the ordinaryUV/IR divergences in quantum field theories, and obtained various bounds on the scaling exponents. The modular invariance of the partition function of the SL(2, R) WZW model is studied with Dr. Y. Sato. It was shown that the truncation to unitary discrete series is not compatible with the mo … More dular invariance and that the coupling between the long and short strings is inevitable on AdS_3 specetime.Currently, together with H. Awata, Y. Saito, Y. Shimizu and A. Tsuchiya, he is studying in detail the relationship between the geometry of rational elliptic surfaces and the dynamics of the supersymmetric gauge theories.Suzuki has performed an analysis of phase transition of supersymmetric gauge theories and superstring theories, especially for exactly solvable models. In supersymmetric gauge theories, it was shown that physical quantities can be calculated directly from their integral representations. In addition, a technique was developed for examining physical quantities for superstring theories. An analysis has been made about conformal fixed point both for gauge theories and superstring theories.Kugo constructed a supersymmetric GUT model based on E_6 which incorporates the Frogatt-Nielsen mechanism using an anomalous U(l) quantum number, and showed that the model can explain the mass matrix patterns consistent with all the experimental data for all the quark/lepton/neutrino sectors. In the brane world scenario, he pointed out the phenomenological importance of the fluctuation modes of our 3-brane. Moreover, the superconformal tensor calculus is presented for five dimensional space-time case. in which one direction is compactified on an orbifold S^l/2_2. Less

Kazama 在规范理论方面阐明了共形对称性的量子力学起源，这在 AdS/CFT 对应中起着关键作用。此外，他表明，共形对称性在更一般的理论中存在，包括 M 的矩阵模型。随后，他首次详细研究了超对称性在确定 DO 粒子完全离壳有效作用中的作用，并获得了 4 阶的完整有效作用和超对称变换。加藤阐明了量子场论中大N散度与普通UV/IR散度的关系，并得到了标度指数上的各种有界分区的模不变性。与 Y. Sato 博士一起研究了 SL(2, R) WZW 模型的函数，结果表明截断为酉离散级数与模... 更多目前，他正在与 H. Awata、Y. Saito、Y. Shimizu 和 A. Tsuchiya 一起详细研究有理椭圆几何之间的关系铃木对超对称规范理论和超弦理论进行了相变分析，特别是对于超对称规范理论中的精确可解模型。表明物理量可以直接从其积分表示计算。此外，还开发了一种用于检查超弦理论物理量的技术，并对规范理论和超弦理论的共形不动点进行了分析。Kugo 构建了超对称 GUT。基于 E_6 的模型结合了使用反常 U(l) 量子数的 Frogatt-Nielsen 机制，并表明该模型可以解释与所有实验数据一致的质量矩阵模式在膜世界场景中，他指出了三膜波动模式的现象学重要性，并且针对一个方向为五维时空的情况提出了超共形张量微积分。在轨道折叠 S^l/2_2 上压缩。