Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory

Abstract

We investigate the supersymmetric Wilson loops in $d=3$ $\mathcal{N}=4$ super Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and 1/2 BPS Wilson loops. We also provide a complete proof that the difference between 1/4 and 1/2 Wilson loops is $Q$-exact with $Q$ being some supercharge that is preserved by both the 1/4 and 1/2 Wilson loops. This plays an important role in applying the localization techniques to compute the vacuum expectation values of Wilson loops. We also study the M-theory dual of the 1/2 BPS circular Wilson loop.

V1, 35 pages; V2, 36 pages, references added; V3, 36 pages, typos corrected, more or less published version

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Cited by in corpus (55)

• Exact results for the entanglement entropy and the energy radiated by a quark
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• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Towards the exact Bremsstrahlung function of ABJM theory
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• Exact Bremsstrahlung functions in ABJM theory
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Framing and localization in Chern-Simons theories with matter
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• Holography of mass-deformed M2-branes
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Airy Function and 4d Quantum Gravity
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Dressed Giant Magnons on CP^3
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
• 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
• Observables and Correlators in Nonrelativistic ABJM Theory
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• BPS Wilson loops and quiver varieties
• A matrix model for the latitude Wilson loop in ABJM theory
• Interpolating Wilson loops and enriched RG flows
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• ABJ Wilson loops and Seiberg Duality
• M2-brane Flows and the Chern-Simons Level
• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• A note on multiply wound BPS Wilson loops in ABJM
• 1/3 BPS loops and defect CFTs in ABJM theory
• Deformations of the circular Wilson loop and spectral (in)dependence
• On three-point functions in ABJM and the latitude Wilson loop
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Wilson loops and defect RG flows in ABJM
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Two-Point Functions in ABJM Matrix Model
• Higher Rank ABJM Wilson Loops from Matrix Models
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• 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
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• Supersymmetric Wilson Loops in Diverse Dimensions
• Exact results for Wilson loops in orbifold ABJM theory
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Abelian dualities and line defect indices for 3d gauge theories
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Notes on Planar Resolvents of Chern-Simons-matter Matrix Models
• $\mathcal{N}=3$ Harmonic Super-Wilson Loop
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• A network of hyperloops