6533b81ffe1ef96bd1277d93
RESEARCH PRODUCT
The c-map on groups
Oscar MaciaAndrew Swannsubject
PhysicsMathematics - Differential GeometryPure mathematics53C26 (53C30 53C55)Property (philosophy)Physics and Astronomy (miscellaneous)010308 nuclear & particles physicsComputationImage (category theory)Structure (category theory)Lie group01 natural sciencesDifferential Geometry (math.DG)Cone (topology)Homogeneous0103 physical sciencesFOS: MathematicsMathematics::Differential GeometryProjective test010306 general physicsdescription
We study the projective special Kaehler condition on groups, providing an intrinsic definition of homogeneous projective special Kaehler 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 Kaehler structure on a Lie group.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-08-05 |