Deformation of Dyonic Black Holes and Vacuum Geometries in Four Dimensional N = 1 Supergravity

We study some aspects of dyonic non-supersymmetric black holes of four dimensional N = 1 supergravity coupled to chiral and vector multiplets. The scalar manifold can be considered as a one-parameter family of Kähler manifolds generated by a Kähler-Ricci flow equation. This setup implies that we have a family of dyonic non-supersymmetric black holes deformed with respect to the flow parameter related to the Kähler-Ricci soliton. We mainly consider two types of the black holes, namely extremal dyonic ReissnerNordström-like and Bertotti-Robinson-like black holes. In addition, the corresponding vacuum structures for such black holes are also discussed in the context of Morse-Bott theory. Finally, we give some simple l CP-models whose superpotential and gauge couplings have the linear form. email: [email protected], [email protected], [email protected]