Mysterious duality and helical line bundles on del Pezzo surfaces
Algebraic Geometry
2025-07-15 v1
Abstract
Mysterious duality is a relationship, described by Vafa in 2000, between -BPS branes in Type II supergravity in dimension and rational curves on del Pezzo surfaces of degree . We show that both sides of this correspondence can be linked to a grading of the Lie algebra . In addition, we show that the relevant rational curves correspond to `helical' line bundles, that is, line bundles that can appear in a helix on the del Pezzo surface.
Cite
@article{arxiv.2507.10169,
title = {Mysterious duality and helical line bundles on del Pezzo surfaces},
author = {Alastair King},
journal= {arXiv preprint arXiv:2507.10169},
year = {2025}
}