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arXiv 1405.6019hep-thmath.AG
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实拓扑弦的M理论解释

M-theory interpretation of the real topological string

Nicolò Piazzalunga, Angel Uranga

摘要:

我们描述了IIA型物理实现的无定向拓扑弦介绍Walcher,描述其M-理论提升,并表明,它允许计算的BPS M2膜态的单圈图的开放和无定向的拓扑振幅。这证实并允许推广拓扑振幅的约束BPS整数展开。定向褶皱的M-理论提升自由地作用于M-理论圆,因此整数重数是原始封闭定向Gopakumar-Vafa不变量的(等变子扇区)的加权版本。M理论的提升也为拓扑蝌蚪相消条件提供了新的视角。最后,我们评论的M-理论版本的其他无向拓扑弦,并澄清某些错误的识别在文献中的早期讨论。

英文摘要:

We describe the type IIA physical realization of the unoriented topological string introduced by Walcher, describe its M-theory lift, and show that it allows to compute the open and unoriented topological amplitude in terms of one-loop diagram of BPS M2-brane states. This confirms and allows to generalize the conjectured BPS integer expansion of the topological amplitude. The M-theory lift of the orientifold is freely acting on the M-theory circle, so that integer multiplicities are a weighted version of the (equivariant subsector of the) original closed oriented Gopakumar-Vafa invariants. The M-theory lift also provides new perspective on the topological tadpole cancellation conditions. We finally comment on the M-theory version of other unoriented topological strings, and clarify certain misidentifications in earlier discussions in the literature.

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。

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