Roadmap on Wilson loops in 3d Chern-Simons-matter theories

Abstract

This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short chapters devoted to different questions and techniques. Some new results, perspectives and speculations are also presented. We hope this might serve as a baseline for further studies of this topic.

arXiv comment41 pages, 4 figures, prepared for submission to J. Phys. A; v2: minor changes, published version

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• Wilson loops in large N field theories
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Review of AdS/CFT Integrability: An Overview
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• Fractional M2-branes
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Wilson Loops and Minimal Surfaces
• Rigid Supersymmetric Theories in Curved Superspace
• From weak to strong coupling in ABJM theory
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Notes on Superconformal Chern-Simons-Matter Theories
• Quantum spectral curve for AdS_5/CFT_4
• ABJM theory as a Fermi gas
• All-genus calculation of Wilson loops using D-branes
• Multi-Matrix Models and Tri-Sasaki Einstein Spaces
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• Nonperturbative aspects of ABJM theory
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Matrix Model as a Mirror of Chern-Simons Theory
• The Bethe ansatz for superconformal Chern-Simons
• Exact Results in ABJM Theory from Topological Strings
• A supermatrix model for N=6 super Chern-Simons-matter theory
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• The all loop AdS4/CFT3 Bethe ansatz
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Exact results for the entanglement entropy and the energy radiated by a quark
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Wilson Loops in Large N Theories
• 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
• Generalized quark-antiquark potential at weak and strong coupling
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Integrable Wilson loops
• Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
• 1/2-BPS states in M theory and defects in the dual CFTs
• The three-loop cusp anomalous dimension in QCD
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Anomalous radius shift in AdS(4)/CFT(3)
• The Quantum Spectral Curve of the ABJM theory
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Supersymmetric Renyi Entropy
• Bubbling Geometries for Half BPS Wilson lines
• Analytic Solution of Bremsstrahlung TBA
• Multiply wound Polyakov loops at strong coupling
• New supersymmetric Wilson loops in ABJ(M) theories
• Exact Slope and Interpolating Functions in ABJM Theory
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Magnon dispersion to four loops in the ABJM and ABJ models
• Line defects and radiation in $\mathcal{N}=2$ theories
• Vortex Loop Operators, M2-branes and Holography
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Wilson Loop Renormalization Group Flows
• Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription
• The Spectral Curve of the Lens Space Matrix Model
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Towards the exact Bremsstrahlung function of ABJM theory
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• An exact slope for AdS/CFT
• 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
• Interacting fermions and N=2 Chern-Simons-matter theories
• Two-loop cusp anomaly in ABJM at strong coupling
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Exact Bremsstrahlung functions in ABJM theory
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Analysis of Observables in Chern-Simons Perturbation Theory
• Large N Duality, Lens Spaces and the Chern-Simons Matrix Model
• Supersymmetric Wilson loops in N=4 SYM and pure spinors
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• String corrections to circular Wilson loop and anomalies
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Framing and localization in Chern-Simons theories with matter
• On the Exact Interpolating Function in ABJ Theory
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• 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
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
• Eliminating ambiguities for quantum corrections to strings moving in $Ad{S}_4\times {\mathbb{CP}}^3$
• String theory duals of Wilson loops from Higgsing
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• A matrix model for the latitude Wilson loop in ABJM theory
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Toward Precision Holography in Type IIA with Wilson Loops
• Probing Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories at weak coupling
• A note on multiply wound BPS Wilson loops in ABJM
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• Green-Schwarz superstring on the lattice
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• An exact limit of ABJM
• On regularizing the AdS superstring worldsheet

Cited by in corpus (38)

• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
• Broken global symmetries and defect conformal manifolds
• Wilson loops in 5d long quiver gauge theories
• Quantum K theory of symplectic Grassmannians
• Mapping out the internal space in AdS/BCFT with Wilson loops
• A review of the AdS/CFT Quantum Spectral Curve
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• BPS Wilson loops and quiver varieties
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Wilson-loop One-point Functions in ABJM Theory
• Localization and Duality for ABJM Latitude Wilson Loops
• Wilson loops for 5d and 3d conformal linear quivers
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Wilson loops and defect RG flows in ABJM
• 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
• Interpolating Boundary Conditions on $Ad{S}_2$
• Supersymmetric Wilson Loops via Integral Forms
• On the abundance of supersymmetric strings in $Ad{S}_3\times S^3\times S^3\times S^1$ describing BPS line operators
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• 1d Conformal Field Theory and Dispersion Relations
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Interpolating Bremsstrahlung function in ABJM
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Abelian dualities and line defect indices for 3d gauge theories
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Framing fermionic Wilson loops in ABJ(M)
• Boundary bound states and integrable Wilson loops in ABJM
• Shape Deformations of Charged Rényi Entropies from Holography
• Equivariant and supersymmetric localization in QFT
• A network of hyperloops
• Holographic Wilson Loop One-point Functions in ABJM Theory