Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle

Abstract

We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM. Our explicit solution describes anomalous dimensions of this family of observables for any value of the `t Hooft coupling and arbitrary R-charge L of the local operator inserted on the cusp in a near-BPS limit. Our finding generalizes the previous results of one of the authors & Sever and passes several nontrivial tests. First, for a particular case L=0 we reproduce the predictions of localization techniques. Second, we show that in the classical limit our result perfectly reproduces the existing prediction from classical string theory. In addition, we made a comparison with all existing weak coupling results and we found that our result interpolates smoothly between these two very different regimes of AdS/CFT. As a byproduct we found a generalization of the essential parts of the FiNLIE construction for the gamma-deformed case and discuss our results in the framework of the novel $\mathbf{P}\mu$-formulation of the spectral problem.

39 pages, 4 figures; v2: minor corrections, references added; v3: typos fixed, references updated; v4: typos fixed

References in corpus (12)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Quantum spectral curve for AdS_5/CFT_4
• Small deformations of supersymmetric Wilson loops and open spin-chains
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Wronskian Solution for AdS/CFT Y-system
• The Quantum Deformed Mirror TBA I
• Konishi operator at intermediate coupling
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Six-loop Konishi anomalous dimension from the Y-system
• Exact momentum fluctuations of an accelerated quark in N=4 super Yang-Mills

Cited by in corpus (42)

• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• The Quantum Spectral Curve of the ABJM theory
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Integrability of the AdS_5 x S^5 superstring and its deformations
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Quark--anti-quark potential in N=4 SYM
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Exact Bremsstrahlung and Effective Couplings
• Towards the exact Bremsstrahlung function of ABJM theory
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Exact Bremsstrahlung functions in ABJM theory
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Spin chain integrability in non-supersymmetric Wilson loops
• 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
• A review of the AdS/CFT Quantum Spectral Curve
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Algebraic Curve for a Cusped Wilson Line
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• Spectral curve for open strings attached to the Y=0 brane
• Cusped Wilson lines in symmetric representations
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• Ladder exponentiation for generic large symmetric representation Wilson loops
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• Spectral curve for gamma-deformed AdS/CFT
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Exact Results in Supersymmetric Gauge Theories
• Wilson Loops and Integrability