Smooth Bubbling Geometries Without Supersymmetry

TL;DR

This paper introduces a novel class of smooth, non-supersymmetric bubbling geometries constructed via the Weyl formalism, involving Kaluza-Klein bubbles and electromagnetic fluxes, with potential applications to non-BPS black hole microstates.

Contribution

It presents the first smooth bubbling geometries without supersymmetry using the Weyl formalism, classifying charged solutions in six-dimensional Einstein theory with fluxes.

Findings

Constructed smooth, singularity-free solutions with Kaluza-Klein bubbles.

Embedded solutions correspond to non-BPS D1-D5-KKm configurations.

Solutions share conserved charges with non-extremal Cvetic-Youm black holes.

Abstract

We construct the first smooth bubbling geometries using the Weyl formalism. The solutions are obtained from Einstein theory coupled to a two-form gauge field in six dimensions with two compact directions. We classify the charged Weyl solutions in this framework. Smooth solutions consist of a chain of Kaluza-Klein bubbles that can be neutral or wrapped by electromagnetic fluxes, and are free of curvature and conical singularities. We discuss how such topological structures are prevented from gravitational collapse without struts. When embedded in type IIB, the class of solutions describes D1-D5-KKm solutions in the non-BPS regime, and the smooth bubbling solutions have the same conserved charges as a static four-dimensional non-extremal Cvetic-Youm black hole.