Notes on hyperloops in N=4 Chern-Simons-matter theories

Abstract

We present new circular Wilson loops in three-dimensional N=4 quiver Chern-Simons-matter theory on S^3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Including then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.

arXiv comment30 pages, 8 figures; v2: minor changes, added reference

References in corpus (34)

• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• SUSY Gauge Theories on Squashed Three-Spheres
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Notes on SUSY Gauge Theories on Three-Sphere
• Notes on Superconformal Chern-Simons-Matter Theories
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Supersymmetric Wilson loops on S^3
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Bootstrapping the half-BPS line defect
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• New supersymmetric Wilson loops in ABJ(M) theories
• Exact results for supersymmetric abelian vortex loops in 2+1 dimensions
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• N=4 Chern-Simons theories with auxiliary vector multiplets
• Vortex Loop Operators, M2-branes and Holography
• The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter 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
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• String theory duals of Wilson loops from Higgsing
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• BPS Wilson loops and quiver varieties
• Probing Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories at weak coupling

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• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• On the abundance of supersymmetric strings in $Ad{S}_3\times S^3\times S^3\times S^1$ describing BPS line operators
• Interpolating Bremsstrahlung function in ABJM
• Generalized Maxwell-Higgs vortices in models with enhanced symmetry
• 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
• Framing fermionic Wilson loops in ABJ(M)
• A network of hyperloops
• Universal sectors in superconformal defects