$G$ -流形上的膜
Branes on $G$-manifolds
摘要：
设$X$是由群$G$作用的Calabi-Yau流形.我们给出了$X$上膜的$G$ -等变的定义，并给每个等变膜分配了$X$的等变上同调的一个元素，这个元素可以被认为是膜的一个电荷.我们证明了等变膜之间伸展的弦的空间支持$G$的表示。这一事实使我们能够给公式的维数的一些这样的空间，当$X$是一个旗流形的$G$。
英文摘要：
Let $X$ be Calabi-Yau manifold acted by a group $G$. We give a definition of $G$-equivariance for branes on $X$, and assign to each equivariant brane an element of the equivariant cohomology of $X$ that can be considered as a charge of the brane. We prove that the spaces of strings stretching between equivariant branes support representations of $G$. This fact allows us to give formulas for the dimension of some of such spaces, when $X$ is a flag manifold of $G$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
