Non-Supersymmetric, Multi-Center Solutions with Topological Flux

TL;DR

This paper constructs an infinite class of non-supersymmetric multi-center solutions in five-dimensional supergravity with topological fluxes, extending known supersymmetric solutions and analyzing their regularity conditions.

Contribution

It introduces a new family of non-supersymmetric solutions with arbitrary fluxes on multiple 2-cycles, expanding the landscape of known supergravity solutions.

Findings

Explicit solutions with arbitrary numbers of 2-cycles and fluxes

Derivation of bubble equations similar to supersymmetric cases

Extension of bubbling solution analysis to non-supersymmetric context

Abstract

We find an infinite class of non-supersymmetric multi-center solutions to the STU model in five-dimensional ungauged supergravity coupled to two vector multiplets. The solutions are obtained by solving a system of linear equations on a class of Ricci-scalar-flat K\"ahler manifolds studied by LeBrun. After imposing an additional U(1) isometry in the base, we solve the axisymmetric $SU(\infty)$ Toda equation and obtain explicit supergravity solutions containing arbitrary numbers of 2-cycles with cohomological fluxes of all three flavors. This improves upon a previous result where only two of the three fluxes were topologically non-trivial. Imposing regularity and absence of closed timelike curves, we obtain "bubble equations" highly reminiscent of those known in the supersymmetric case. Thus we extend much of the analysis done for BPS bubbling solutions to this new family of non-supersymmetric bubbling solutions.