Generalized quark-antiquark potential at weak and strong coupling

Abstract

We study a two-parameter family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory which interpolates smoothly between the 1/2 BPS line or circle and a pair of antiparallel lines. These observables capture a natural generalization of the quark-antiquark potential. We calculate these loops on the gauge theory side to second order in perturbation theory and in a semiclassical expansion in string theory to one-loop order. The resulting determinants are given in integral form and can be evaluated numerically for general values of the parameters or analytically in a systematic expansion around the 1/2 BPS configuration. We comment about the feasibility of deriving all-loop results for these Wilson loops.

43 pages: 15 comprising the main text and 25 for detailed appendices

References in corpus (9)

• Gluon scattering amplitudes at strong coupling
• Supersymmetric Wilson loops on S^3
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Quark-antiquark potential in AdS at one loop
• Notes on Euclidean Wilson loops and Riemann Theta functions
• Cusped SYM Wilson loop at two loops and beyond
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Plasma
• The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time

Cited by in corpus (97)

• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Integrable Wilson loops
• The cusp anomalous dimension at three loops and beyond
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• Analytic Solution of Bremsstrahlung TBA
• New supersymmetric Wilson loops in ABJ(M) theories
• 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
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Quark--anti-quark potential in N=4 SYM
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Exact Bremsstrahlung and Effective Couplings
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Towards the exact Bremsstrahlung function of ABJM theory
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Localization and AdS/CFT Correspondence
• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Broken global symmetries and defect conformal manifolds
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Resurgence of the Cusp Anomalous Dimension
• Holographic entanglement entropy in AdS4/BCFT3 and the Willmore functional
• Two-loop cusp anomaly in ABJM at strong coupling
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
• Toward precision holography with supersymmetric Wilson loops
• Exact Bremsstrahlung functions in ABJM theory
• Correlation Function of Circular Wilson Loops at Strong Coupling
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Systematics of the cusp anomalous dimension
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory
• Wilson loops and minimal area surfaces in hyperbolic space
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Wilson loops and Riemann theta functions II
• Correlation function of circular Wilson loop with two local operators and conformal invariance
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Exact momentum fluctuations of an accelerated quark in N=4 super Yang-Mills
• Ladders for Wilson Loops Beyond Leading Order
• Algebraic Curves for Factorized String Solutions
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• The full angle-dependence of the four-loop cusp anomalous dimension in QED
• Algebraic Curve for a Cusped Wilson Line
• More about "short" spinning quantum strings
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• 1/3 BPS loops and defect CFTs in ABJM theory
• Quark-antiquark potential in defect conformal field theory
• Deformations of the circular Wilson loop and spectral (in)dependence
• Impure Aspects of Supersymmetric Wilson Loops
• Wilson loops T-dual to Short Strings
• Green-Schwarz superstring on the lattice
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• Minimal area surfaces in AdS_{n+1} and Wilson loops
• Cusped Wilson lines in symmetric representations
• NLL resummation for the static potential in N=4 SYM theory
• Ironing out the crease
• One-loop correction to the energy of a wavy line string in AdS_5
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Interpolating Bremsstrahlung function in ABJM
• Quantum corrections to minimal surfaces with mixed three-form flux
• Perturbations of Pulsating Strings
• Quantum deformation of cubic string field theory
• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• Resumming planar diagrams for the N=6 ABJM cusped Wilson loop in light-cone gauge
• The ground state of long-range Schrodinger equations and static $q\bar{q}$ potential
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• On a new type of divergence for spiky Wilson loops and related entanglement entropies
• The Cross Anomalous Dimension in Maximally Supersymmetric Yang--Mills Theory
• Remarks on the geometrical properties of semiclassically quantized strings
• Exact Results in Supersymmetric Gauge Theories
• Generalized quark-antiquark potential in AdS/CFT
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• On the cusp anomalous dimension in the ladder limit of $\mathcal{N}=4$ SYM
• Wilson Loops and Integrability
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Universal sectors in superconformal defects