The c-map on groups

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We study the projective special Kähler condition on groups, providing an intrinsic definition of homogeneous projective special Kähler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic Kähler structure on a Lie group.
Original languageEnglish
Article number015015
JournalClassical and Quantum Gravity
Publication statusPublished - Dec 2019


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