论文标题

K3指标

K3 metrics

论文作者

Kachru, Shamit, Tripathy, Arnav, Zimet, Max

论文摘要

我们提供了Ricci-Flat K3指标的明确结构。它采用了D-GEMETRY的技术,在感兴趣的情况下,它等同于Hyper-Kähler商。我们将其与Arxiv:1810.10540的构建有关,尤其表明它包含了讨论的BPS状态计数问题的解决方案(计算在$ t^2 $上计算的BPS索引的BPS指数的解决方案),这是K3 Metrics的第二次构建所需的数据。

We provide an explicit construction of Ricci-flat K3 metrics. It employs the technology of D-geometry, which in the case of interest is equivalent to a hyper-Kähler quotient. We relate it to the construction of arXiv:1810.10540, and in particular show that it contains the solution to the BPS state counting problem (that of computing the BPS index of a heterotic little string theory compactified on $T^2$) discussed therein, which is the data needed for this second construction of K3 metrics.

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