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

David Lindemann

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

Differential Geometry 2019-07-17 v1 High Energy Physics - Theory

Authors: David Lindemann

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.

Keywords

projective special real manifolds moduli set compact convex generating set regular boundary behaviour 5d supergravity scalar geometry deformation

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@article{arxiv.1907.06791,
  title  = {Properties of the moduli set of complete connected projective special real manifolds},
  author = {David Lindemann},
  journal= {arXiv preprint arXiv:1907.06791},
  year   = {2019}
}

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50 pages, 6 figures

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

Abstract

Keywords

Cite

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