Exact Bremsstrahlung functions in ABJM theory

Abstract

In this paper we study the Bremsstrahlung functions for the 1/6 BPS and the 1/2 BPS Wilson lines in ABJM theory. First we use a superconformal defect approach to prove a conjectured relation between the Bremsstrahlung functions associated to the geometric ($B_{1/6}^{\phi }$) and R-symmetry ($B_{1/6}^{\theta }$) deformations of the 1/6 BPS Wilson line. This result, non-trivially following from a defect supersymmetric Ward identity, provides an exact expression for $B_{1/6}^{\theta }$ based on a known result for $B_{1/6}^{\phi }$. Subsequently, we explore the consequences of this relation for the 1/2 BPS Wilson line and, using the localization result for the multiply wound Wilson loop, we provide an exact closed form for the corresponding Bremsstrahlung function. Interestingly, for the comparison with integrability, this expression appears particularly natural in terms of the conjectured interpolating function $h(\lambda )$. During the derivation of these results we analyze the protected defect supermultiplets associated to the broken symmetries, including their two- and three-point correlators.

43 pages, 3 figures. Minor changes. Published version

References in corpus (26)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The all loop AdS4/CFT3 Bethe ansatz
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• 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
• Boundary Conformal Field Theory and a Boundary Central Charge
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• The Quantum Spectral Curve of the ABJM theory
• Universality at large transverse spin in defect CFT
• 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
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Towards the exact Bremsstrahlung function of ABJM theory
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• Two-loop cusp anomaly in ABJM at strong coupling
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• A matrix model for the latitude Wilson loop in ABJM theory
• Supersymmetric W-algebras
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• ABJM $\theta$-Bremsstrahlung at four loops and beyond

Cited by in corpus (26)

• Towards a $C$-theorem in defect CFT
• Line defects and radiation in $\mathcal{N}=2$ theories
• Integrability and Conformal Bootstrap: One Dimensional Defect CFT
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Superconformal surfaces in four dimensions
• 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
• Bootstrapping line defects in $\mathcal{N}=2$ theories
• Conformal dispersion relations for defects and boundaries
• A review of the AdS/CFT Quantum Spectral Curve
• Holographic Line Defects in $D=4$, $N=2$ Gauged Supergravity
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
• A matrix model for the latitude Wilson loop in ABJM theory
• Toward Precision Holography in Type IIA with Wilson Loops
• On three-point functions in ABJM and the latitude Wilson loop
• 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
• Interpolating Bremsstrahlung function in ABJM
• Supersymmetric Wilson loops in two dimensions and duality
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Universal sectors in superconformal defects
• Two-Point Correlator of Chiral Primary Operators with a Wilson Line Defect in $\mathcal{N}=4$ SYM