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arXiv · 2501.01900

The geometry of hypermultiplets

Stefan Vandoren
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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-Kähler (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.

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Stefan Vandoren. 2025-04-13. The geometry of hypermultiplets. https://arxiv.org/abs/2501.01900

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