Mass-Deformed Bagger-Lambert Theory and its BPS Objects

TL;DR

This paper constructs a mass-deformed Bagger-Lambert theory with extended supersymmetry, explores its vacuum structure, and identifies BPS objects like domain walls and supertube-like configurations.

Contribution

It introduces a new mass-deformed Bagger-Lambert theory with SO(4) symmetry and analyzes its BPS solutions and vacuum sectors.

Findings

Identified a symmetric vacuum and two broken sectors with SO(4) geometry.

Constructed 1/2 BPS domain walls and 1/4 BPS supertube-like objects.

Discussed mass deformations reducing supersymmetry.

Abstract

We find a sixteen supersymmetric mass-deformed Bagger-Lambert theory with $SO(4)\times SO(4)$ global R-symmetry. The R-charge plays the `non-central' term in the superalgebra. This theory has one symmetric vacuum and two in-equivalent broken sectors of vacua. Each sector of the broken symmetry has the SO(4) geometry. We find the 1/2 BPS domain walls connecting the symmetric phase and any broken phase, and 1/4 BPS supertube-like objects, which may appear as anyonic q-balls in the symmetric phase or vortices in the broken phase. We also discuss mass deformations which reduces the number of supersymmetries.