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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

风间进行了一项研究，阐明了“纯旋量（PS）形式主义”的基本结构，这是一种有前途的新超弦世界表形式主义，同时实现了明显的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PS形式主义的非线性约束特征所带来的困难，并在没有约束的情况下基于扩大的场空间构建了“扩展PS（EPS）形式主义”。此外，他通过明确构建连接它们的相似变换，证明了这种形式主义与熟悉的 Ramond-Neveu-Schwarz (RNS) 形式主义和 Green-Schearz (GS) 形式主义的等价性。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加倍，加上新的局域费米子对称性，消除了不需要的自由度，从而阐明了PS形式主义迄今为止尚未确定的基本作用及其对称结构，并首次成功地从第一原理推导出完全量化的PS形式主义。进一步，他将这一思想应用到11维超膜理论的超共变量子化问题中，得到了经典层面上控制系统基本动力学的约束代数，并阐明了其结构。桥本主要研究了D膜系统的动力学，并取得了以下成果。他对 D-膜的产生/湮灭给出了简单的场论描述，在一些特殊的 D-膜构型中，例如相交的 D-膜和/或低维 D-膜的创建。相当复杂的弦场理论已被用于分析 D 膜湮灭，他澄清了这些理论的扰动方面。由于已知低维 D 膜与规范理论中的孤子相对应，因此他根据 D 膜的产生/湮灭给出了构造孤子的已知数学方法的物理解释。 D-膜使他能够分析孤子之间的相互作用，其应用揭示了碰撞宇宙弦（现象学涡旋孤子）的重新连接机制。较少的