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.

18 pages. Comments are welcome!

References in corpus (4)

• On the Geometry of the String Landscape and the Swampland
• String loop corrected hypermultiplet moduli spaces
• HyperKahler and quaternionic Kahler manifolds with S^1-symmetries
• 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