Mind the Gap: Supersymmetry Breaking in Scaling, Microstate Geometries

TL;DR

This paper constructs a non-BPS microstate geometry for five-dimensional black rings using supertubes, revealing a gap in the moduli space related to supersymmetry breaking and closed time-like curves.

Contribution

It introduces a multi-species supertube solution for non-BPS microstate geometries, analyzing the effects of holonomy on supersymmetry breaking and the moduli space structure.

Findings

Large holonomy leads to closed time-like curves in non-BPS solutions.

Smaller holonomy results in a gap in the non-BPS moduli space.

The solution closely relates to the corresponding non-BPS black ring.

Abstract

We use a multi-species supertube solution to construct an example of a scaling microstate geometry for non-BPS black rings in five dimensions. We obtain the asymptotic charges of the microstate geometry and show how the solution is related to the corresponding non-BPS black ring. The supersymmetry is broken in a very controlled manner using holonomy and this enables a close comparison with a scaling, BPS microstate geometry. Requiring that there are no closed time-like curves near the supertubes places additional restrictions on the moduli space of physical, non-BPS solutions when compared to their BPS analogs. For large holonomy the scaling non-BPS solution always has closed time-like curves while for smaller holonomy there is a "gap" in the non-BPS moduli space relative to the BPS counterpart.