A note on M2-branes in opposite charge

TL;DR

This paper investigates flux singularities in oppositely charged M2-brane backgrounds, constructs new solutions, and demonstrates the impossibility of hiding these singularities behind horizons, challenging potential resolutions within M-theory.

Contribution

It introduces new AdS (anti-)M2-brane solutions in oppositely charged flux backgrounds and identifies a topological obstruction preventing the singularity from being hidden.

Findings

Singularities develop during localisation of solutions.

Singularities cannot be hidden behind horizons.

Topological obstruction explains singularity formation.

Abstract

The flux singularity that arise when branes are put in an oppositely charged background is a wildly discussed issue and in this paper the problem is investigated further. New AdS world volume (anti-)M2-brane solutions are constructed by placing the brane in a background where the charge dissolved in the flux is opposite that of the brane. A topological obstruction is derived to show how the singularity develops during localisation of this solution and any similarly constructed solution. Furthermore the singularity is shown not to be possible to hide behind a horizon, which would have given credence to a possible M-theory resolution.