A Calabi-Yau threefold coming from two black holes
Algebraic Geometry
2023-02-15 v2 High Energy Physics - Theory
Abstract
In this paper, we show that a set of six square roots of homogeneous polynomials in four variables, related to a binary system of black holes studied by Stefan Weinzierl, is not rationalizable. We prove it by showing that the variety associated to the product of four of the six square roots is not unirational. In particular, we show that the smooth model of is a Calabi-Yau threefold.
Cite
@article{arxiv.2207.01936,
title = {A Calabi-Yau threefold coming from two black holes},
author = {Dino Festi and Bert van Geemen},
journal= {arXiv preprint arXiv:2207.01936},
year = {2023}
}
Comments
V.2: Section 4 edited. Conjectures 4.25 and 4.31 changed. Exposition overall (hopefully) improved. Main results untouched. Comments still welcome