The Hesse potential, the c-map and black hole solutions

Details The Hesse potential, the c-map and black hole solutions The Hesse potential, the c-map and black hole solutions

2011-12-13

arxiv.org/abs/1112.2876v2

Physics

High Energy Physics

High Energy Physics - Theory

59 pages. Revised version: references added, discussion of flow equations slightly extended, other minor modifications

Scientific paper

We present a new formulation of the local c-map, which makes use of the real formulation of special Kahler geometry and the associated Hesse potential. As an application we use the temporal version of the c-map to derive the black hole attractor equations from geometric properties of the scalar manifold, and we construct various stationary solutions for four-dimensional vector multiplets by lifting instanton solutions of the time-reduced theory.

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