标题： F理论中的广义Green-Schwarz机制 显示英文标题

标题： Generalized Green-Schwarz mechanism in F theory

摘要： 我们推导出在F理论中紧化于椭圆Calabi-Yau三复流形时出现的6维规范理论的异常8-形式。 该结果允许根据椭圆纤维底空间上的交点数来确定某些此类理论的物质内容。 我们还讨论了在世界体积上具有双点奇点的7-膜上的规范理论。 概述了在Hirzebruch曲面和${\bf P}^2$上的II型紧化应用。 显示英文摘要

摘要： We derive the anomaly 8-form of 6-dimensional gauge theories arising in F theory compactifications on elliptic Calabi-Yau threefolds. The result allows to determine the matter content of certain such theories in terms of intersection numbers on the base of elliptic fibration. We also discuss gauge theories on 7-branes with double point singularities on the worldvolume. Applications to Type II compactifications on Hirzebruch surfaces and ${\bf P}^2$ are outlined.