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

Kazama进行了一项研究，澄清了“纯旋量(PS)形式主义”的基本结构，这是一种很有前途的新的超弦形式，同时实现了明显的超对称性和庞加莱协方差，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，并构造了一个基于没有约束的扩大场空间的扩展PS(EPS)形式主义。此外，他通过显式地构造了连接这两种形式主义的相似变换，证明了这种形式主义与人们熟悉的Ramond-Neveu-Schwarz(RNS)形式主义和Green-Schearz(GS)形式主义的等价性。在这些结果的基础上，他提出了“双旋量形式”的概念，其中GS形式中的旋量场的数量加倍，加上一种新的局域费米子对称性，它消除了不需要的自由度，从而澄清了迄今未确定的…更基本的作用量及其对称结构，并首次从第一原理成功地推导出完全量子化的PS形式。进一步，他将这一思想应用于11维超膜理论的超协变量量子化问题，得到了经典水平下控制系统基本动力学的约束代数，并阐明了它的结构。桥本主要研究了D-膜系统的动力学，并取得了以下结果。他给出了一些特殊的D膜结构中D膜的产生/湮灭的简单场论描述，例如相交的D膜和/或低维D膜的产生。弦场理论，这是相当复杂的，已经被用来分析D膜湮没，他澄清了这些理论的微扰方面。由于已知低维D膜对应于规范理论中的孤子，他从D膜的产生/湮灭的角度对构造孤子的已知数学方法进行了物理解释。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的宇宙弦重新连接的机制，这些宇宙弦是唯象涡旋孤子。较少

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