论文标题
F理论的广义对称性和椭圆纤维的拓扑结构
Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations
论文作者
论文摘要
我们意识到非椭圆形纤维纤维的卡拉比折射歧管的F理论压缩中的更高形式的对称性。这项努力的核心是非紧密椭圆纤维边界的拓扑，以及用lefschetz Thimbles的显式构造相对2个循环的拓扑。我们将分析应用于各种椭圆纤维，包括几何形状，其中椭圆振动的判别性与边界相交。我们通过从椭圆振动中构造相关的带电线算子来提供1形对称组的具体实现。作为应用程序，我们计算椭圆形的三倍的对称拓扑场理论，这对应于5D和6D理论中的混合异常。
We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explicit construction of relative 2-cycles in terms of Lefschetz thimbles. We apply the analysis to a variety of elliptic fibrations, including geometries where the discriminant of the elliptic fibration intersects the boundary. We provide a concrete realization of the 1-form symmetry group by constructing the associated charged line operator from the elliptic fibration. As an application we compute the symmetry topological field theories in the case of elliptic three-folds, which correspond to mixed anomalies in 5d and 6d theories.
