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arXiv · 2006.02435

K3 metrics

Shamit Kachru·Arnav Tripathy·Max Zimet
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Abstract

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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Shamit Kachru, Arnav Tripathy, Max Zimet. 2020-10-06. K3 metrics. https://arxiv.org/abs/2006.02435

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