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The geometry of hypermultiplets

2025/01/03 by Vandoren, Stefan
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2501.01900

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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