Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation

Abstract

We study mesonic line operators in Chern-Simons theories with bosonic or fermionic matter in the fundamental representation. In this paper, we elaborate on the classification and properties of these operators using all loop resummation of large $N$ perturbation theory. We show that these theories possess two conformal line operators in the fundamental representation. One is a stable renormalization group fixed point, while the other is unstable. They satisfy first-order chiral evolution equations, in which a smooth variation of the path is given by a factorized product of two mesonic line operators. The boundary operators on which the lines can end are classified by their conformal dimension and transverse spin, which we compute explicitly at finite 't Hooft coupling. We match the operators in the bosonic and fermionic theories.

arXiv comment105 pages, 17 figures. v2: extended to mass deformed CS-matter theories, (section 8). Some details about anomalous spin moved to appendix. Typos corrected. JHEP version

References in corpus (106)

• AdS Dual of the Critical O(N) Vector Model
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Massless Higher Spins and Holography
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Chern-Simons Theory with Vector Fermion Matter
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Notes on SUSY Gauge Theories on Three-Sphere
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• Level/rank Duality and Chern-Simons-Matter Theories
• Seiberg Duality in Chern-Simons Theory
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Constraining conformal field theories with a slightly broken higher spin symmetry
• Particle-Vortex Duality from 3d Bosonization
• Comments on 3d Seiberg-like dualities
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Holography of the N=1 Higher-Spin Theory on AdS4
• Boundary Conformal Field Theory and a Boundary Central Charge
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Chern Simons duality with a fundamental boson and fermion
• Two-Loop Analysis of Non-abelian Chern-Simons Theory
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Correlators of Large N Fermionic Chern-Simons Vector Models
• Phases of large $N$ vector Chern-Simons theories on $S^2\times S^1$
• Renormalization Group Flows on Line Defects
• Particle-vortex duality in topological insulators and superconductors
• Light-Front Bootstrap for Chern-Simons Matter Theories
• Phases Of Adjoint QCD${}_3$ And Dualities
• A Symmetry Breaking Scenario for QCD${}_3$
• Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
• On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models
• More Abelian Dualities in 2+1 Dimensions
• ABJ Triality: from Higher Spin Fields to Strings
• Supersymmetric Chern-Simons Theories with Vector Matter
• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Three-dimensional dualities with bosons and fermions
• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• Notes on Spinning Operators in Fermionic CFT
• Disorder Operators in Chern-Simons-Fermion Theories
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Spin Impurities, Wilson Lines and Semiclassics
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• Duality and Higher Temperature Phases of Large $N$ Chern-Simons Matter Theories on $S^2\times S^1$
• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• Veneziano Amplitude of Vasiliev Theory
• Chern Simons Bosonization along RG Flows
• N=2 Dualities and Z Extremization in Three Dimensions
• Kontsevich Integral for Vassiliev Invariants from Chern-Simons Perturbation Theory in the Light-Cone Gauge
• Non-Abelian 3d Bosonization and Quantum Hall States
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• Spontaneous Breaking of Scale Invariance in a d=3 U(N) Model with Chern-Simons Gauge Field
• Embedding three-dimensional bosonization dualities into string theory
• Chern-Simons Matter Theories and Higher Spin Gravity
• Higher spin 3-point functions in 3d CFT using spinor-helicity variables
• Momentum space parity-odd CFT 3-point functions
• Chern-Simons-Fermion Vector Model with Chemical Potential
• QCD domain walls, Chern-Simons theories and holography
• A master bosonization duality
• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics
• Momentum space spinning correlators and higher spin equations in three dimensions
• Transport in Chern-Simons-Matter Theories
• Large N Renormalization Group Flows in 3d $\mathcal{N}=1$ Chern-Simons-Matter Theories
• Bosonizing three-dimensional quiver gauge theories
• 3d Abelian Dualities with Boundaries
• Constraining momentum space correlators using slightly broken higher spin symmetry
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
• 3D Field Theories with Chern--Simons Term for Large $N$ in the Weyl Gauge
• Four-point functions in large $N$ Chern-Simons fermionic theories
• Novel 3d bosonic dualities from bosonization and holography
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Metastable Vacua in Large-$N$ QCD${}_3$
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Large N Chern-Simons with massive fundamental fermions - A model with no bound states
• Bose-Fermi Chern-Simons Dualities in the Higgsed Phase
• Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• Mirror Symmetry and Bosonization in 2d and 3d
• The Massive Fermion Phase for the U(N) Chern-Simons Gauge Theory in D=3 at Large N
• BPS Wilson loops and quiver varieties
• An all order exact result for the anomalous dimension of the scalar primary in Chern Simons Vector Models
• Correlation functions in $\mathcal{N}=2$ Supersymmetric vector matter Chern-Simons theory
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• Vacuum structure of large $N$ QCD${}_3$ from holography
• Matter Chern Simons Theories in a Background Magnetic Field
• Anyonic correlation functions in Chern-Simons matter theories
• Index and duality of minimal N=4 Chern-Simons-matter theories
• Chern-Simons Theory on Seifert Manifold and Matrix Model
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Mass-deformed $\mathcal{N}=3$ Supersymmetric Chern-Simons-Matter Theory
• Charting the phase diagram of QCD${}_3$
• Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel
• Chern-Simons dualities with multiple flavors at large $N$
• From Phase Space to Integrable Representations and Level-Rank Duality
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Boundary Conformal Field Theory at Large Charge

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