Bethe Ansaetze for GKP strings

Abstract

Studying the scattering of excitations around a dynamical background has a long history in the context of integrable models. The Gubser-Klebanov-Polyakov string solution provides such a background for the string/gauge correspondence. Taking the conjectured all-loop asymptotic equations for the AdS_4/CFT_3 correspondence as the starting point, we derive the S-matrix and a set of spectral equations for the lowest-lying excitations. We find that these equations resemble closely the analogous equations for AdS_5/CFT_4, which are also discussed in this paper. At large values of the coupling constant we show that they reproduce the Bethe equations proposed to describe the spectrum of the low-energy limit of the AdS_4xCP^3 sigma model.

60 pages, 5 figures

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Cited by in corpus (26)

• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• Gluing Ladders into Fishnets
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Nonsinglet pentagons and NMHV amplitudes
• Fermionic pentagons and NMHV hexagon
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Matrix pentagons
• On the scattering over the GKP vacuum
• Conical Twist Fields and Null Polygonal Wilson Loops
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes
• Worldsheet scattering for the GKP string
• Nonperturbative enhancement of superloop at strong coupling
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• Towards NMHV amplitudes at strong coupling
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• Strong Wilson polygons from the lodge of free and bound mesons
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Cutting the cylinder into squares: The square form factor
• Descent equation for superloop and cyclicity of OPE
• ABJM flux-tube and scattering amplitudes
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM