Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
复制标题
F 理论通过 M 理论对 Calabi-Yau 三重的六维 (1,0) 有效作用
DOI：
10.1007/jhep05(2012)019
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发表时间：
2011
影响因子：
5.4
通讯作者：
Thomas W. Grimm
中科院分区：
文献类型：
--
作者：
Federico Bonetti;Thomas W. Grimm
本文利用M-理论提升确定了紧化的F-理论在椭圆型Calabi-Yau三重空间上的6d有效作用量。非阿贝尔规范理论产生于位于三重奇点上的一堆七层膜上。通过对卡-丘三重分解，在5维库仑分支中分析了规范理论。减少包括一个任意数量的6d张量多重态的自我和反自我的对偶约束可以施加在5d M-理论设置。高曲率项对于六维空间的异常抵消是至关重要的，并且是从对11维超重力作用的修正中获得的。6d超引力理论中的手征谱通过反常与Green-Schwarz耦合的形式联系起来。我们发现，这些数据编码在5d有效的行动，通过一个循环的校正。
A bstractThe 6d effective action of F-theory compactified on an elliptically fibred CalabiYau threefold is determined using an M-theory lift. The non-Abelian gauge theory arises on a stack of seven-branes located on the singularities of the threefold. The gauge theory is analysed in the 5d Coulomb branch by resolving the Calabi-Yau threefold. The reduction includes an arbitrary number of 6d tensor multiplets for which the self- and anti-self duality constraints can be imposed in the 5d M-theory set-up. Higher curvature terms are crucial for anomaly cancellation in six dimensions, and are obtained from corrections to the 11d supergravity action. The chiral spectrum in a 6d supergravity theory is linked to the form of the Green-Schwarz couplings via anomalies. We find that these data are encoded in the 5d effective action via one loop corrections.