Non-supersymmetric extremal multicenter black holes with superpotentials

TL;DR

This paper extends the superpotential method to construct and analyze non-supersymmetric extremal multicenter black hole solutions in four-dimensional N=2 supergravity, providing new tools for studying such configurations.

Contribution

It generalizes Denef's approach to include non-supersymmetric solutions, broadening the scope of multicenter black hole analysis in supergravity.

Findings

Derived first-order equations for non-supersymmetric solutions

Provided explicit example within the stu model

Demonstrated the applicability of the generalized method

Abstract

Using the superpotential approach we generalize Denef's method of deriving and solving first-order equations describing multicenter extremal black holes in four-dimensional N = 2 supergravity to allow non-supersymmetric solutions. We illustrate the general results with an explicit example of the stu model.