Constructing Generalized Self-Dual Strings

TL;DR

This paper extends the ADHMN-like construction of self-dual string solitons to include solutions from the ABJM and deformed BLG models, providing new insights into M2-M5 brane systems.

Contribution

It introduces two novel extensions of the self-dual string construction based on solutions from the ABJM and deformed BLG models.

Findings

Constructed solutions to abelian and nonabelian self-dual string equations

Extended the ADHMN-like framework to new supersymmetric models

Potentially models M2-branes suspended between M5-branes

Abstract

We generalize a recently developed ADHMN-like construction of self-dual string solitons using loop space. In particular, we present two extensions: The first one starts from solutions to the Basu-Harvey equation for the ABJM model, the second one starts from solutions to a corresponding BPS equation in an N=2 supersymmetric deformation of the BLG model. Both constructions yield solutions to the abelian and the nonabelian self-dual string equation transgressed to loop space. These equations might provide an effective description of M2-branes suspended between M5-branes.