Abelian vortices in Bagger-Lambert-Gustavsson theory

Among newly discovered M2 and M5 objects in the Bagger-Lambert-Gustavsson theory, our interest is about 1/2 BPS vortices, which are described by covariantly holomorphic curves in transverse coordinates. We restrict ourselves to the case where the global symmetry is broken to so(2) x so(2) x so(4) for the mass deformed Bagger-Lambert theory. A localized object with finite energy exists in this theory since the mass parameter supports regularity. It is time independent but carries angular momentum coming solely from the gauge potential by which the energy is bounded below.