Bootstrapping Null Polygon Wilson Loops

Abstract

We derive the two loop expressions for polygonal Wilson loops by starting from the one loop expressions and applying an operator product expansion. We do this for polygonal Wilson loops in R^{1,1} and find a result in agreement with previous computations. We also discuss the spectrum of excitations around flux tube that connects two null Wilson lines.

29 pages, 10 figures, v2: references added

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Logarithmic scaling in gauge/string correspondence
• Analytic Results for MHV Wilson Loops
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM

Cited by in corpus (55)

• Local Integrals for Planar Scattering Amplitudes
• Bootstrapping the three-loop hexagon
• Motivic Amplitudes and Cluster Coordinates
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Bootstrapping an NMHV amplitude through three loops
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills
• Hexagon functions and the three-loop remainder function
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Pulling the straps of polygons
• Single-valued harmonic polylogarithms and the multi-Regge limit
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Integrable Wilson loops
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Nonsinglet pentagons and NMHV amplitudes
• BFKL approach and 2->5 MHV amplitude
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• Quantum mechanics of null polygonal Wilson loops
• The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
• Bethe Ansaetze for GKP strings
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• Luescher formula for GKP string
• Wilson loop OPE, analytic continuation and multi-Regge limit
• The six-point remainder function to all loop orders in the multi-Regge limit
• From Polygon Wilson Loops to Spin Chains and Back
• Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
• Wilson Loops @ 3-Loops in Special Kinematics
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• Multichannel Conformal Blocks for Polygon Wilson Loops
• All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
• OPE for Super Loops
• OPE for null Wilson loops and open spin chains
• The Wilson-loop $d\log$ representation for Feynman integrals
• The Two-Loop Remainder Function for Eight and Nine Particles
• g-Functions and gluon scattering amplitudes at strong coupling
• T-functions and multi-gluon scattering amplitudes
• The Two-Loop Symbol of all Multi-Regge Regions
• Hexagon POPE: effective particles and tree level resummation
• Wilson loop remainder function for null polygons in the limit of self-crossing
• The two-loop eight-point amplitude in ABJM theory
• All two-loop MHV remainder functions in multi-Regge kinematics
• Scattering of Giant Holes
• Uplifting Amplitudes in Special Kinematics
• Bootstrapping octagons in reduced kinematics from $A_2$ cluster algebras
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• ABJM flux-tube and scattering amplitudes
• The Multi-Regge Limit from the Wilson Loop OPE
• Yangian symmetry of light-like Wilson loops
• Differential equations for multi-loop integrals and two-dimensional kinematics
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• Gluon scattering amplitudes from gauge/string duality and integrability