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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，澄清了“纯旋量（PS）形式主义”的基本结构，这是一种有前途的新的超弦世界表形式主义，同时实现了显超对称性和庞加莱协变性，并获得了以下结果。首先，他指出了与PS形式主义的非线性约束特征相关的困难，并基于没有约束的扩大的场空间构建了“扩展的PS（EPS）形式主义”。此外，他证明了等价的这种形式主义与熟悉的拉蒙-奈芙-施瓦茨（RNS）形式主义和绿色Schearz（GS）形式主义明确建设的相似性变换连接它们。基于这些结果，他提出了“双旋量形式主义”的想法，其中GS形式主义中的旋量场的数量增加了一倍，并且具有新的局部费米对称性，该对称性消除了不需要的自由度，从而澄清了迄今尚未确定的 ...更多信息基本作用量及其对称结构，并首次成功地从第一性原理出发导出了完全量子化的PS形式。此外，他将这一思想应用于11维超膜理论的超协变量子化问题，并在经典水平上获得了控制系统基本动力学的约束代数，阐明了其结构。桥本主要研究了D-膜系统的动力学，并完成了以下结果。他给出了简单的场论描述的D-膜创建/湮灭，在一些特殊的D-膜配置，如相交的D-膜和/或创建低维D-膜。弦场理论，这是相当复杂的，已被用于分析的D-膜湮灭，他澄清微扰方面的这些理论。由于低维D-膜被称为对应于规范理论中的孤子，他给出了物理解释已知的数学方法来构建孤子，在D-膜创建/湮灭。D膜使他能够分析孤子之间的相互作用，它的应用揭示了碰撞宇宙弦的重联机制，这是唯象的涡旋孤子。少