Vortex-type Half-BPS Solitons in ABJM Theory

Abstract

We study Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain vortex-type half-BPS equations and the corresponding energy bound. For the undeformed ABJM theory, the resulting half-BPS equation is the same as that in supersymmetric Yang-Mills theory and no finite energy regular BPS solution is found. For the mass-deformed ABJM theory, the half-BPS equations for U(2)xU(2) case reduce to the vortex equation in Maxwell-Higgs theory, which supports static regular multi-vortex solutions. In U(N)xU(N) case with N>2 the nonabelian vortex equation of Yang-Mills-Higgs theory is obtained.

22 pages, v2: references added, v3: minor correction, to appear in PRD

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Cited by in corpus (25)

• Looking for a Matrix model of ABJM
• Supersymmetric vacua of mass-deformed M2-brane theory
• Mirror symmetry and line operators
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Non-Abelian Chern-Simons vortices with generic gauge groups
• Resolution of Chern--Simons--Higgs Vortex Equations
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model
• Holography of mass-deformed M2-branes
• Holographic Entanglement Entropy of Mass-deformed ABJM Theory
• M5-brane Solution in ABJM Theory and Three-algebra
• Non-Lorentzian Field Theories with Maximal Supersymmetry and Moduli Space Dynamics
• Interaction between M2-branes and Bulk Form Fields
• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
• Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
• On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
• Non-topological Vortex Configurations in the ABJM Model
• Aspects of Massive ABJM Models with Inhomogeneous Mass Parameters
• Aspects of Supersymmetry in Multiple Membrane Theories
• Semi-classical monopole operators in Chern-Simons-matter theories
• Generalized BIons in M-theory
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• N=2 Chern-Simons-Matter Theories Without Vortices
• Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models
• Exact 4-point Scattering Amplitude of the Superconformal Schrodinger Chern-Simons Theory