BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Abstract

We study a family of circular BPS Wilson loops in N=6 super Chern-Simons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on two deformation parameters and these operators can be considered as the ABJ(M) counterpart of the DGRT latitudes defined in N=4 SYM. We perform a complete two-loop analysis of their vacuum expectation value, discuss the framing dependence and propose a general relation with cohomologically equivalent bosonic operators. We make an all-loop proposal for computing the Bremsstrahlung function associated to the 1/2-BPS cusp in terms of these generalized Wilson loops. When applied to our two-loop result it reproduces the known expression. Finally, we comment on the generalization of this proposal to the bosonic 1/6-BPS case.

46 pages, 6 figures; references added

References in corpus (62)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• 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
• SUSY Gauge Theories on Squashed Three-Spheres
• From weak to strong coupling in ABJM theory
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• The Bethe ansatz for superconformal Chern-Simons
• Exact Results in ABJM Theory from Topological Strings
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• A supermatrix model for N=6 super Chern-Simons-matter theory
• The all loop AdS4/CFT3 Bethe ansatz
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Exact results for the entanglement entropy and the energy radiated by a quark
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Spin Chains in N=6 Superconformal 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
• Supersymmetric Wilson loops
• Generalized quark-antiquark potential at weak and strong coupling
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• 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
• The AdS4/CFT3 algebraic curve
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
• The cusp anomalous dimension at three loops and beyond
• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Supersymmetric Renyi Entropy
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Analytic Solution of Bremsstrahlung TBA
• New supersymmetric Wilson loops in ABJ(M) theories
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Quark-antiquark potential in AdS at one loop
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• Scattering in ABJ theories
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• An all order identity between ABJM and N=4 SYM four-point amplitudes
• Light-like Wilson loops in ABJM and maximal transcendentality
• Discontinuity relations for the AdS(4)/CFT(3) correspondence

Cited by in corpus (56)

• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Exact Slope and Interpolating Functions in ABJM Theory
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Towards the exact Bremsstrahlung function of ABJM theory
• 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
• Two-loop cusp anomaly in ABJM at strong coupling
• Exact Bremsstrahlung functions in ABJM theory
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Framing and localization in Chern-Simons theories with matter
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Wilson loops in terms of color invariants
• 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
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
• A matrix model for the latitude Wilson loop in ABJM theory
• Interpolating Wilson loops and enriched RG flows
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Toward Precision Holography in Type IIA with Wilson Loops
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Wilson-loop One-point Functions in ABJM Theory
• A note on multiply wound BPS Wilson loops in ABJM
• Localization and Duality for ABJM Latitude Wilson Loops
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• On three-point functions in ABJM and the latitude Wilson loop
• 1/3 BPS loops and defect CFTs in ABJM theory
• Wilson loops and defect RG flows in ABJM
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• Emitted Radiation and Geometry
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• Cusped Wilson lines in symmetric representations
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• An exact limit of ABJM
• Supersymmetric Wilson Loops via Integral Forms
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Interpolating Bremsstrahlung function in ABJM
• Supersymmetric Wilson loops in two dimensions and duality
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Framing fermionic Wilson loops in ABJ(M)