Properties of the moduli set of complete connected projective special real manifolds

Abstract

We construct a compact convex generating set Cn 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 Cn 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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