Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM

Abstract

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS formula, may be understood in terms of the lowest eigenvalue of the BFKL hamiltonian. According to Alday et al., amplitudes in the strongly coupled theory can be constructed through an auxiliary 1-dimensional quantum system. We argue that certain excitations of this quantum system determine the Regge limit of the remainder function at strong coupling and we compute its precise value.

25 pages, 5 figures; published version -- added deeper interpretation of the results

References in corpus (29)

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• The Large N Limit of Superconformal Field Theories and Supergravity
• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Classical Polylogarithms for Amplitudes and Wilson Loops
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• Thermodynamic Bubble Ansatz
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• Y-system for Scattering Amplitudes
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• The Two-Loop Hexagon Wilson Loop in N = 4 SYM
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM
• String hypothesis for the AdS_5 x S^5 mirror
• N=4 supersymmetric Yang Mills scattering amplitudes at high energies: the Regge cut contribution
• Excited states in some simple perturbed conformal field theories
• Integrability of scattering amplitudes in N=4 SUSY
• Y-system and Quasi-Classical Strings
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Mandelstam cuts and light-like Wilson loops in N=4 SUSY
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• The Imaginary Part of the N = 4 Super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics

Cited by in corpus (32)

• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Bootstrapping Null Polygon Wilson Loops
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• MHV amplitude for 3->3 gluon scattering in Regge limit
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory at multi-Regge kinematics: Conformal Regge pole contribution
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• Wilson loop OPE, analytic continuation and multi-Regge limit
• The six-point remainder function to all loop orders in the multi-Regge limit
• When does the gluon reggeize?
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• Integrable spin chains and scattering amplitudes
• Heptagon Amplitude in the Multi-Regge Regime
• g-Functions and gluon scattering amplitudes at strong coupling
• The Two-Loop Symbol of all Multi-Regge Regions
• The Excited Hexagon Reloaded
• T-functions and multi-gluon scattering amplitudes
• Cross-Order Integral Relations from Maximal Cuts
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• MHV amplitudes at strong coupling and linearized TBA equations
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Open Spin Chains and Complexity in the High Energy Limit
• The Multi-Regge Limit from the Wilson Loop OPE
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills