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We find half-BPS vortex solitons, at both weak and strong coupling, in theN=6 supersymmetric mass deformation of ABJM theory with U(N) x U(N) gaugesymmetry and Chern-Simons level k. The strong coupling gravity dual is obtainedby performing a Z_k quotient of the N=8 supersymmetric eleven dimensionalsupergravity background of Lin, Lunin and Maldacena corresponding to the massdeformed M2-brane theory. At weak coupling, the BPS vortices preserving sixsupersymmetries are found in the Higgs vacuum of the theory where the gaugesymmetry is broken to U(1) x U(1). The classical vortex solitons break acolour-flavour locked global symmetry resulting in non-Abelian internalorientational moduli and a CP^1 moduli space of solutions. At strong couplingand large k, upon reduction to type IIA strings, the vortex moduli space andits action are computed by a probe D0-brane in the dual geometry. The mass ofthe D0-brane matches the classical vortex mass. However, the gravity pictureexhibits a six dimensional moduli space of solutions, a section of which can beidentified as the CP^1 we find classically, along with a Dirac monopoleconnection of strength k. It is likely that the extra four dimensions in themoduli space are an artifact of the strong coupling limit and of thesupergravity approximation.

Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory