Superstring Duality and Brane Dynamics

在这个项目中，我们主要从不同的角度研究超弦理论中的脑动力学和对偶性，讨论特殊完整流形上的紧化对于实现超弦理论背景下的时空超对称性具有重要意义。在此背景下，江口和菅原从世界片超共形理论的角度研究了紧化在特殊完整流形和D-膜上的超弦理论。作为相关工作，菅原还研究了NS 5膜背景和AdS 3空间上的弦理论。江口还利用镜像对称性对高维超对称规范理论的几何进行了详细的分析，并成功地构造了5维和6维超对称规范理论的Seiberg-Witten曲线的精确形式。近年来，在非对易几何和开弦场论的帮助下，开弦理论和D-膜动力学中的快子凝聚得到了深入的研究。松尾和川野分别为这一主题创作了一系列作品。Matsuo研究了非对易环面上的非对易孤子，并讨论了它们的膜解释。例如，他还研究了围绕快子凝聚的真空的开放搅拌场论（VSFT），并就身份投射器的作用进行了争论。Kawano探索了非零B场的开弦场论。他进一步研究了VSFT中经典解周围的涨落模式，并讨论了与开弦理论模式的识别。去年加入该项目的今村研究了大质量11 A型超引力中的BPS经典解，并讨论了与相交膜系统的识别。

In this project we have mainly studied brain dynamics and duality in superstring theory from various angles.It is important to discuss the compactification on special holonomy manifolds in order to realize space-time supersymmetry in the context of string theory. Eguchi and Sugawara have been studying the superstring theory compactified on special holonomy manifolds and D-branes in this background from the viewpoints of the world-sheet superconformal theory. As related works, Sugawara also studied the string theory on NS5 brane background and AdS3 space. Eguchi also gave a detailed analysis on the geometry associated to higher dimensional SUSY gauge theory with the helps of mirror symmetry and succeeded in constructing the exact forms of Seiberg-Witten curves for the 5 and 6 dimensional SUSY gauge theories.In recent years the tachyon condensation in open siring theory and D-brane dynamics have been intensively studied with the helps of non-commutative geometry and open string field theory. Matsuo and Kawano independently presented series of works for this subject. Matsuo studied the non-commutative solitons on non-commutative torus and discussed their brane interpretation. He also studied the open stiring field theory around the vacuum at which tachyons condenstate (VSFT) and argued on the role of identity projector, for example. Kawano explored aspects of open string field theory with non-zero B-field. He further studied the fluctuation modes around classical solutions in VSFT and discussed the identification with the modes of open string theory.Imamura, who joined this project in the last year, studied BPS classical solutions in the massive type 11A supergravjty and argued on the identification with the system of intersecting branes.