Nichtperturbative Stringdualität und D-branes in Calabi-Yau-Kompaktifizierungen

弦理论的非摄动性质的最新进展是基于对d膜的研究。对于cy流形上的d -膜的分析有两种方法：一种是在大半径极限下膜包裹完整环的几何描述，边界共形场论（CFT）的方法可以用来研究Gepner点上的d -膜。过去，我们在这两个领域都做过研究。对它们之间关系的研究才刚刚开始，最初的结果有望为非摄动弦对偶性提供一些新颖的、可能意想不到的见解。其中包括对字符串二象性的各种新检查，这可能涉及非bps状态。应用包括研究边缘稳定性和其他d膜物理的重要问题。我们的方法包括Calabi-Yauspaces理论、二维场论和非交换几何的各种技术。

Recent progress in understanding non-perturbative properties of string theory is based on the investigation of D-branes. For the analysis of D-branes on CY-manifolds ther are two approaches: while one has a geometric description as branes wrapping around holonomy cycles in the large-radius-limit, methods of boundary conformal field theory (CFT) can be employed to study D-branes at the Gepner points. In the past, we have done research in both areas. Investigations of their relation has just been started and the first results promise a number of novel and possibly unexpected insights into nonperturbative string dualities. Among these are various new checks of string dualities, which may involve non-BPS states. Applications include the study of marginal stability and other important issues of D-brane physics. Our methods include the theory of Calabi-Yauspaces, various techniques from 2D field theory and non-commutative geometry.