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

TL;DR

This paper investigates how dyonic black holes in 4d N=1 supergravity are deformed by K"ahler-Ricci solitons, affecting their geometries and vacuum structures, with specific models illustrating these effects.

Contribution

It introduces a family of non-supersymmetric dyonic black holes deformed by K"ahler-Ricci flow, analyzing their geometries and vacuum structures in supergravity.

Findings

Identification of dyonic Reissner-Nordstr"om-like black holes

Analysis of Bertotti-Robinson-like black holes with scalar freezing

Study of vacuum structures via Morse-(Bott) theory

Abstract

We study some aspects of spherical symmetric dyonic non-supersymmetric black holes in $4d \; N=1$ supergravity coupled to chiral and vector multiplets on K\"ahler-Ricci solitons. Then, we have a family of dyonic non-supersymmetric black holes deformed with respect to the flow parameter related to the K\"ahler-Ricci soliton, which possibly controls the nature of black holes, such as their asymptotic and near horizon geometries. Two types of black holes are discussed, namely a family of dyonic Reissner-Nordstr\"om-like black holes and Bertotti-Robinson-like black holes where the scalars are freezing all over spacetime and at the horizon, respectively. In addition, the corresponding vacuum structures for such black holes are also studied in the context of Morse-(Bott) theory. Finally, we give some simple $\;{\lC \mathrm{P}}^n$-models whose superpotential and gauge couplings have a linear form.