The geometry of hypermultiplets
High Energy Physics - Theory
2025-04-15 v2
Abstract
This is a light and short review on the geometry of hypermultiplets coupled to supergravity and its appearance in string theory. As is long known, the target space of the hypermultiplet sigma-model is a quaternion-K\"ahler (QK) manifold of negative scalar curvature. We review some aspects of hypermultiplet moduli spaces, but also study aspects of QK-geometries in relation to the swampland, including some concrete examples of swampland QK-manifolds.
Keywords
Cite
@article{arxiv.2501.01900,
title = {The geometry of hypermultiplets},
author = {Stefan Vandoren},
journal= {arXiv preprint arXiv:2501.01900},
year = {2025}
}
Comments
18 pages, v2 added references, misprints corrected