Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual

Abstract

We study Wilson loop operators in three-dimensional, N=6 superconformal Chern-Simons theory dual to IIA superstring theory on AdS4 x CP3. Novelty of Wilson loop operators in this theory is that, for a given contour, there are two linear combinations of Wilson loop transforming oppositely under time-reversal transformation. We show that one combination is holographically dual to IIA fundamental string, while orthogonal combination is set to zero. We gather supporting evidences from detailed comparative study of generalized time-reversal transformations in both D2-brane worldvolume and ABJM theories. We then classify supersymmetric Wilson loops and find at most 1/6-supersymmetry. We next study Wilson loop expectation value in planar perturbation theory. For circular Wilson loop, we find features remarkably parallel to circular Wilson loop in N=4 super Yang-Mills theory in four dimensions. First, all odd loop diagrams vanish identically and even loops contribute nontrivial contributions. Second, quantum corrected gauge and scalar propagators take the same form as those of N=4 super Yang-Mills theory. Combining these results, we propose that expectation value of circular Wilson loop is given by Wilson loop expectation value in pure Chern-Simons theory times zero-dimensional Gaussian matrix model whose variance is specified by an interpolating function of `t Hooft coupling. We suggest the function interpolates smoothly between weak and strong coupling regime, offering new test ground of the AdS/CFT correspondence.

v1. 34 pages, 11 figures: v2. major revision, all loop proof added 42 pages, 11 figures

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Cited by in corpus (118)

• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• From weak to strong coupling in ABJM theory
• Aspects of AdS/BCFT
• Exact Results in ABJM Theory from Topological Strings
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Exact results for the entanglement entropy and the energy radiated by a quark
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• New supersymmetric Wilson loops in ABJ(M) theories
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• ABJM Wilson Loops in Arbitrary Representations
• Vortex Loop Operators, M2-branes and Holography
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• The Partition Function of ABJ Theory
• Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
• 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
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• 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
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• The Gravity Dual of Supersymmetric Renyi Entropy
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• On Large N Solution of ABJM Theory
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• 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
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Wilson loops in Five-Dimensional Super-Yang-Mills
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations
• Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
• 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 Large N Solution of Gaiotto-Tomasiello Theory
• 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
• Dressed Giant Magnons on CP^3
• String theory duals of Wilson loops from Higgsing
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• Observables and Correlators in Nonrelativistic ABJM Theory
• BPS Wilson loops and quiver varieties
• Mass Deformed ABJM Theory on Three Sphere in Large N limit
• Charged particle-like branes in ABJM
• Interpolating Wilson loops and enriched RG flows
• A matrix model for the latitude Wilson loop in ABJM theory
• ABJ Wilson loops and Seiberg Duality
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• Toward Precision Holography in Type IIA with Wilson Loops
• Wilson-loop One-point Functions in ABJM Theory
• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• A note on multiply wound BPS Wilson loops in ABJM
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• M2-brane Flows and the Chern-Simons Level
• Localization and Duality for ABJM Latitude Wilson Loops
• On three-point functions in ABJM and the latitude Wilson loop
• Deformations of the circular Wilson loop and spectral (in)dependence
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Supersymmetric Wilson loops with general contours in ABJM theory
• 1/3 BPS loops and defect CFTs in ABJM theory
• Exact results for ABJ Wilson loops and open-closed duality
• Higher Rank ABJM Wilson Loops from Matrix Models
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Wilson loops and defect RG flows in ABJM
• (p,q)-strings probing five-brane webs
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• ABJM Baryon Stability and Myers effect
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Emitted Radiation and Geometry
• Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Supersymmetric Wilson Loops in Diverse Dimensions
• Lessons in quantum gravity from quantum field theory
• An exact limit of ABJM
• Vortex loop operators and quantum M2-branes
• Interpolating Boundary Conditions on $Ad{S}_2$
• 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 for Wilson loops in orbifold ABJM theory
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• ADHM Wilson line defect indices
• Wilson loops in N=6 superspace for ABJM theory
• BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory
• 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
• A Note on Wilson Loop in N=2 Quiver/M theory Gravity Duality
• Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy
• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion
• Resumming planar diagrams for the N=6 ABJM cusped Wilson loop in light-cone gauge
• Abelian dualities and line defect indices for 3d gauge theories
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop
• Strong Coupling Limit of A Family of Chern-Simons-matter Theories
• Framing fermionic Wilson loops in ABJ(M)
• More Fermionic Supersymmetric Wilson loops in Four Dimensions
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• $\mathcal{N}=3$ Harmonic Super-Wilson Loop
• D5-brane on topological black holes
• Notes on Planar Resolvents of Chern-Simons-matter Matrix Models
• A network of hyperloops
• Holographic Wilson Loop One-point Functions in ABJM Theory
• Charged Particle-like Branes in ABJM: A Summary