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Owen Vaughan, University of Hamburg

Special Kähler geometry of $N = 2$ supergravity, dimensional reduction and stationary solutions

We will introduce and discuss special Kähler manifolds, which appear as target spaces of $4D, N = 2$ supergravity coupled to vector multiplets. Through dimensional reduction over a spacelike or timelike circle, a special Kähler manifold can be mapped to a quaternion Kähler or para-quaternion Kähler manifold, respectively. This construction will be reviewed, and we shall see how stationary supergravity solutions appear as interesting submanifolds of certain para-quaternion Kähler manifolds.