Abstract
We construct a compact convex generating set \(\mathcal {C}_n\) of the moduli set of closed connected projective special real manifolds of fixed dimension n. We show that a closed connected projective special real manifold corresponds to an inner point of \(\mathcal {C}_n\) if and only if it has regular boundary behaviour. Our results can be used to describe deformations of 5d supergravity theories with complete scalar geometries.
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