Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.
DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.
We prove that, given a certain isometric action of a two-dimensional Abelian group A on a quaternionic Kahler manifold M which preserves a submanifold N aS, M, the quotient M' = N/A has a natural Kahler structure. We verify that the assumptions on the group action and on the submanifold N aS, M are satisfied for a large class of examples obtained from the supergravity c-map. In particular, we find that all quaternionic Kahler manifolds M in the image of the c-map admit an integrable complex structure compatible with the quaternionic structure, such that N aS, M is a complex submanifold. Finally, we discuss how the existence of the Kahler structure on M' is required by the consistency of spontaneous to supersymmetry breaking.
Olga Fink, Gaëtan Michel Frusque