Solitons on the Supermembrane

TL;DR

This paper derives energy bounds for M2-branes in a hyper-Kähler background, showing that certain solitons saturate these bounds and preserve supersymmetry, with dual interpretations as strings between fivebranes.

Contribution

It introduces new energy bounds for M2-branes and identifies solitons that saturate them, linking supermembrane solutions to string dualities.

Findings

Energy bounds are derived for M2-branes in hyper-Kähler backgrounds.

Lump and Q-kink solitons saturate these bounds and preserve half of the supersymmetry.

Q-kinks correspond to strings migrating between fivebranes in dual IIB theory.

Abstract

Energy bounds are derived for planar and compactified M2-branes in a hyper-K\"ahler background. These bounds are saturated, respectively, by lump and Q-kink solitons, which are shown to preserve a half of the worldvolume supersymmetry. The Q-kinks have a dual IIB interpretation as strings that migrate between fivebranes.