Worldsheet scattering for the GKP string

Abstract

We initiate the perturbative study of the S-matrix for the excitations on top of the GKP vacuum at strong coupling. Using the string sigma model action expanded around the null cusp classical solution, we compute the tree-level S-matrix elements and compare them with the predictions from the asymptotic Bethe Ansatz. We also check the factorization of the three-body S-matrix for various bosonic processes, finding precise agreement with the constraints imposed by integrability.

33 pages, 13 figures

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• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string

Cited by in corpus (12)

• The S-matrix algebra of the AdS2 X S2 superstring
• Classifying integrable symmetric space strings via factorized scattering
• Nonperturbative enhancement of superloop at strong coupling
• Constraining integrable AdS/CFT with factorized scattering
• Towards NMHV amplitudes at strong coupling
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• On the scattering of gluons in the GKP string
• Green-Schwarz superstring on the lattice
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Strong Wilson polygons from the lodge of free and bound mesons
• Analytic Non-Integrability and S-Matrix Factorization
• ABJM flux-tube and scattering amplitudes