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。进一步，他证明了保形对称在广义上存在于更一般的理论中，包括M理论的矩阵模型。然后，他第一次详细研究了超对称在确定DO粒子的完全脱壳有效作用中的作用。他得到了导数展开中的完全有效作用和4阶超对称变换，并严格证明了一些重要的非重整化定理。Kato阐明了大N散度与量子场论中普通yuv /IR散度的关系，并获得了标度指数的各种界限。与Y. Sato博士一起研究了SL(2， R) WZW模型配分函数的模不变性。在AdS_3规范时间上，证明了对幺正离散序列的截断是不相容的，长串和短串之间的耦合是不可避免的。目前，他与H. Awata， Y. Saito， Y. Shimizu和A.土屋一起，正在详细研究理性椭圆曲面几何与超对称规范理论动力学之间的关系。Suzuki对超对称规范理论和超弦理论的相变进行了分析，特别是对精确可解模型。在超对称规范理论中，证明了物理量可以直接从它们的积分表示中计算出来。此外，还开发了一种技术来检验超弦理论的物理量。对规范理论和超弦理论的保形不动点进行了分析。Kugo利用一个反常的U(l)量子数构建了一个基于E_6的包含Frogatt-Nielsen机制的超对称GUT模型，并证明该模型可以解释所有夸克/轻子/中微子扇区的质量矩阵模式，该模式与所有实验数据一致。在膜世界情景中，他指出了三膜涨落模式的现象学重要性。此外，给出了五维时空情况下的超共形张量演算。其中一个方向紧化在轨道S^l/2_2上。少

项目成果

M. Douglas, A. Kato, H. Ooguri: "D-Brane Actions on Kahler Manifolds"Adv. Theory Math. Phys.. 1. 237-258 (1997)

M. Douglas、A. Kato、H. Ooguri：“D-Brane 对卡勒流形的作用”Adv。

Akishi Kato, Yuji Satoh: "Modular invariance of string theory on AdS_3"Physics Letters. B486. 306-313 (2000)

加藤明史 (Akishi Kato)、佐藤裕二 (Yuji Satoh)：“AdS_3 上弦理论的模不变性”《物理快报》。

H. Kajiura, A. Kato and S. Ogushi: "Comments on the Large N Matrix Model"Prog. Theor. Phys.. 103. 197-223 (2000)

H. Kajiura、A. Kato 和 S. Ogushi：“对大 N 矩阵模型的评论”Prog。

T. Masuda and H. Suzuki: "Prepotentials, Bi-linear Form on Periods and Enhanced Gauge Symmetries in Type-II Strings"Int. J. Mod. Phys.. A14. 1177-1203 (1999)

T. Masuda 和 H. Suzuki：“预电势、周期双线性形式以及 II 型弦中增强的规范对称性”Int。

A.Jevicki, Y.Kazama, T.Yoneya: "Quamtum Metamorphosis of Conformal Transformation in D3-Brane Yang-Mills Theory" Phys.Rev.Lett.81. 5072-5075 (1998)

A.Jevicki、Y.Kazama、T.Yoneya：“D3-Brane Yang-Mills 理论中保形变换的量子变形”Phys.Rev.Lett.81。