Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation

Abstract

We study operator insertions into 1/2 BPS Wilson loops in N = 6 ABJM theory and investigate their two-point correlators. In this framework, the energy emitted by a heavy moving probe can be exactly obtained from some two-point coefficients of bosonic and fermionic insertions. This allows us to confirm an early proposal for computing the Bremsstrahlung function in terms of certain supersymmetric circular Wilson loops, whose value might be accessible to localization techniques. In the derivation of this result we also elucidate the structure of protected multiplets in the relevant superconformal defect theory and perform an explicit two-loop calculation.

37 pages, 4 figures, references added

References in corpus (15)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Towards the exact Bremsstrahlung function of ABJM theory
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Two-loop cusp anomaly in ABJM at strong coupling

Cited by in corpus (25)

• Integrability and Conformal Bootstrap: One Dimensional Defect CFT
• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• Analytic bootstrap for the localized magnetic field
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Conformal dispersion relations for defects and boundaries
• Wilson loops in terms of color invariants
• Holographic Line Defects in $D=4$, $N=2$ Gauged Supergravity
• Mellin amplitudes for 1$d$ CFT
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• The topological line of ABJ(M) theory
• Localization and Duality for ABJM Latitude Wilson Loops
• 1/3 BPS loops and defect CFTs in ABJM theory
• Analytic bootstrap for magnetic impurities
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory
• Emitted Radiation and Geometry
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• 1d Conformal Field Theory and Dispersion Relations
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Interpolating Bremsstrahlung function in ABJM
• Framing fermionic Wilson loops in ABJ(M)
• Two-Point Correlator of Chiral Primary Operators with a Wilson Line Defect in $\mathcal{N}=4$ SYM
• Boundary bound states and integrable Wilson loops in ABJM