Study of Non-perturbative Properties of Superstring Theory

超弦理论非微扰性质研究

基本信息

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

项目摘要

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阐明了仪表理论方面的量子对称性的量子机械起源，该量表方面在ADS/CFT对应关系中起关键作用。此外，他表明，在更一般的理论中，包括M理论的矩阵模型在内的一般意义上存在保形对称性。然后，他首次对超对称性在确定DO粒子的完全离壳有效作用中的作用进行了详细研究。他在衍生膨胀中获得了完全有效的动作和在4阶处的超对称性转换，并严格证明了许多重要的非确定性定理。 SL（2，R）WZW模型的分区函数的模块化不变性与Y. Sato博士进行了研究。结果表明，统一离散系列的截断与Mo…更具硬膜不变性不兼容，并且在ADS_3 Spectime.cy.cy中不可避免地与H. Awata，Y。Saito，Y。Shimizu和A. tsuchiya之间的关系详细研究了连续的连接，这是不可避免的。 Suzuki对超对称仪表理论和超构造理论的相变进行了分析，尤其是对于准确的可解决模型，已经进行了分析。在超对称仪表理论中，可以表明可以直接从其积分表示中计算出物理量。此外，开发了一种用于检查超弦理论的物理量的技术。对量表理论和超音理论的共形固定点进行了分析。Kugo构建了基于E_6的超对称肠模型，该模型结合了Frogatt-Nielsen机制使用异常U（L）量子数，并显示该模型可以与所有实验/satter satter/satter/satter satter/satter satter/satters satter satient conterrix sation/satter satter satter/satter satter sattry satient/satters cation/satters satient/satters satient/satter co.在Brane World的情况下，他指出了我们3-Brane波动模式的现象学重要性。此外，针对五个维空间时间案例提出了超符号张量计算。其中一个方向在Orbifold S^L/2_2上被压缩。较少的