Dimensional reduction and black hole solutions of N = 2 supergravity

by Mr Owen Vaughan

Thursday 17 Apr 2014, 14:15 → 15:15 Europe/Berlin

Seminar Room 2 (DESY, building 2a)

We will discuss the dimensional reduction of 4D, N = 2 supergravity coupled to vector multiplets over a compact timelike dimension. This provides a useful technique for constructing new black hole solutions directly from the equations of motion, particularly when combined with a formulation of special geometry based on real Darboux coordinates. Mathematically this induces a map, called the temporal c-map, from a projective special Kahler manifold to a para-quaternion Kahler, which we prove for the first time. Solutions correspond to totally geodesic submanifolds.