1/2-BPS Wilson Loops and Vortices in ABJM Model

Abstract

We explore the low-energy dynamics of 1/2-BPS heavy particles coupled to the ABJM model via the Higgsing of M2-branes, with focus on physical understanding of the recently discovered 1/2-BPS Wilson loop operators. The low-energy theory of 1/2-BPS heavy particles turns out to have the U(N|N) supergauge symmetry, which explains the novel structure of the 1/2-BPS Wilson loop operator as a holonomy of a U(N|N) superconnection. We show that the supersymmetric transformation of the Wilson loop operator can be identified as a fermionic supergauge transformation, which leads to their invariance under half of the supersymmetry. We also argue that 1/2-BPS Wilson loop operators appear as 1/2-BPS vortices with vorticity 1/k. Such a vortex can be naturally interpreted as a membrane wrapping the Z_k cycle once, or type IIA fundamental string.

22 pages

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Cited by in corpus (50)

• From weak to strong coupling in ABJM theory
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• New supersymmetric Wilson loops in ABJ(M) theories
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Towards the exact Bremsstrahlung function of ABJM theory
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• ABJM Wilson loops in the Fermi gas approach
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• Mirror symmetry and line operators
• Exact Bremsstrahlung functions in ABJM theory
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Holography of mass-deformed M2-branes
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• String theory duals of Wilson loops from Higgsing
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• BPS Wilson loops and quiver varieties
• Fermionic Higher-form Symmetries
• Interpolating Wilson loops and enriched RG flows
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Supersymmetric Wilson loops with general contours in ABJM theory
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• ADHM Wilson line defect indices
• Exact results for Wilson loops in orbifold ABJM theory
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Interpolating Bremsstrahlung function in ABJM
• Abelian dualities and line defect indices for 3d gauge theories
• Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• Framing fermionic Wilson loops in ABJ(M)
• Topological Field Theory and Stochastic Dynamics
• Boundary bound states and integrable Wilson loops in ABJM
• A note on scattering amplitudes on the moduli space of ABJM