K3 metrics
High Energy Physics - Theory
2020-10-07 v2 Algebraic Geometry
Differential Geometry
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-K\"ahler 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 ) discussed therein, which is the data needed for this second construction of K3 metrics.
Cite
@article{arxiv.2006.02435,
title = {K3 metrics},
author = {Shamit Kachru and Arnav Tripathy and Max Zimet},
journal= {arXiv preprint arXiv:2006.02435},
year = {2020}
}
Comments
85 pages. V2: corrected typos