Study of non-perturbative dynamics in superstring theory and M theory

超弦理论和M理论中的非微扰动力学研究

基本信息

批准号：
15540256
负责人：
KAZAMA Yoichi
金额：
$ 1.98万
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 (C)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

项目摘要

Kazama conducted a research which clarifies the basic structure of the "pure spinor (PS) formalism", a promising new worldsheet formalism for superstring realizing the manifest supersymmetry and Poincare covariance at the same time, and obtained the following results. First, he pointed out a difficulty associated with the non-linear constraints characteristic of the PS formalism, and constructed an "Extended PS (EPS) formalism" based on an enlarged field space without the constraints. Further he demonstrated the equivalence of this formalism with the familiar Ramond-Neveu-Schwarz (RNS) formalism and the Green-Schearz (GS) formalism by explicitly constructing the similarity transformations connecting them. Based on these results, he proposed the idea of the "double spinor formalism", where the number of the spinor fields in the GS formalism is doubled together with a new local fermionic symmetry which kills the unwanted degrees of freedom, and thereby clarified the hitherto unidentified … More basic action and its symmetry structure for the PS formalism and succeeded for the first time in deriving the fully quantized PS formalism from the first principle. Further, he applied this idea to the problem of supercovariant quantization of the 11 dimensional supermembrane theory and obtained the algebra of constraints governing the basic dynamics of the system at the classical level and clarified its structure.Hashimoto mainly studied the dynamics of the D-brane system and accomplished the following results. He gave simple field-theoretical descriptions of D-brane creation/annihilation, in some peculiar D-brane configurations such as intersecting D-branes and/or creation of lower dimensional D-branes. String field theories, which are quite complicated, have been used for the analyses of the D-brane annihilation, and he clarified perturbative aspects of those theories. Since the lower dimensional D-branes are known to correspod to solitons in gauge theories, he gave physical interpretation of the known mathematical method for constructing solitons, in terms of the D-brane creation/annihilation. D-branes enabled him to analyse interactions between solitons, and its application revealed the mechanism of reconnection of colliding cosmic strings which are phenomenological vortex solitons. Less

Kazama进行了一项研究，阐明了“纯旋转器（PS）格式”的基本结构，这是一种新的世界表格形式，用于实现明显的超对称性和庞加利协方差，并获得以下结果。首先，他指出了与PS形式的非线性约束特征相关的困难，并基于放大的场空间而没有约束，构建了“扩展PS（EPS）格式”。此外，他通过明确构建连接它们的相似性转换，证明了这种形式与熟悉的Ramond-Neveu-Schwarz（RNS）格式和绿色 - 奇尔兹（GS）格式的等效性。基于这些结果，他提出了“双旋转格式”的概念，其中GS格式中的纺纱田的数量与新的本地费尔米离子对称性加倍，杀死了不需要的自由度，从而阐明了迄今为止未知的Qualtived and First in worts pssections in temertive pss time的范围，以实现PSORTISS，以实现PS的形式，以实现PS的构成，以实现PS的形式，以实现PS的构成，以实现PS的构成，并阐明了PS的时间。原则。此外，他将这一想法应用于11个维度超膜理论的超大型量化的问题，并获得了控制系统基本动力学的约束代数，并阐明了其结构。Hashimoto主要研究了D-Brane系统的动力学，并完成了以下结果。在某些奇特的D-Brane构型中，他对D-Brane创建/歼灭进行了简单的字段理论描述，例如与较低的D-Vermentional D-Branes相交和/或创建。弦场理论非常复杂，已用于分析D-Brane歼灭，他阐明了这些理论的扰动方面。由于已知较低的d-d-branes与量规理论中的固体相关，因此他用D-Brane的创建/歼灭给出了已知的数学方法的物理解释。 D-Branes使他能够分析实体之间的相互作用，其应用揭示了重新连接碰撞宇宙字符串的机制，即现象学涡流固体。