Probes in fluxbranes and supersymmetry breaking through Hodge-duality

TL;DR

This paper investigates the effects of fluxbrane reductions on supersymmetry as realized on D2-brane probes, exploring dualisation and extensions to non-linear sigma models in supergravity contexts.

Contribution

It provides new insights into supersymmetry realization on D2-branes after fluxbrane reduction and dualisation, extending to general non-linear sigma models.

Findings

Supersymmetry is partially broken in fluxbrane reductions.

Dualisation reveals how supersymmetry is realized on D2-brane probes.

Extensions to non-linear sigma models are demonstrated.

Abstract

In this letter we consider what happens to an M2-brane probe when Minkowski space is dimensionally reduced to a fluxbrane solution of IIA supergravity. Given that fluxbrane reductions generally break supersymmetry, we look at how supersymmetry is realised on the D2-brane probe after dualisation. We also show how to extend this to more general non-linear sigma models.