Abelian Vortex in Bagger-Lambert-Gustavsson Theory
Jongwook Kim, Bum-Hoon Lee
TL;DR
This paper investigates half BPS vortex solutions in the mass-deformed Bagger-Lambert-Gustavsson theory, revealing localized, finite-energy, time-independent configurations with angular momentum supported by gauge fields.
Contribution
It introduces and analyzes covariantly holomorphic vortex solutions in the mass-deformed Bagger-Lambert-Gustavsson theory with specific symmetry breaking.
Findings
Existence of finite-energy, localized vortex solutions.
Vortices carry angular momentum from gauge potentials.
Solutions are time-independent and regular due to mass parameter.
Abstract
Among newly discovered M2, M5 objects in the Bagger-Lambert-Gustavsson theory, our interest is about half BPS vortices which are 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 where 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.
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