A class of locally inhomogeneous complete quaternionic Kähler manifolds

Abstract

We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry group of the one-loop deformation of any homogeneous c-map space has precisely cohomogeneity one.

arXiv comment18 pages. Comments are welcome!

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• String loop corrected hypermultiplet moduli spaces
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• The c-map as a functor on certain variations of Hodge structure

Cited by in corpus (1)

• Symmetries of one-loop deformed q-map spaces