Scattering of Giant Holes

Abstract

We study scalar excitations of high spin operators in N=4 super Yang-Mills theory, which are dual to solitons propagating on a long folded string in AdS_3 x S^1. In the spin chain description of the gauge theory, these are associated to holes in the magnon distribution in the sl(2,R) sector. We compute the all-loop hole S-matrix from the asymptotic Bethe ansatz, and expand in leading orders at weak and strong coupling. The worldsheet S-matrix of solitonic excitations on the GKP string is calculated using semiclassical quantization. We find an exact agreement between the gauge theory and string theory results.

13 pages. v2: minor corrections, references added

References in corpus (10)

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• An Operator Product Expansion for Polygonal null Wilson Loops
• Logarithmic scaling in gauge/string correspondence
• Generating AdS String Solutions
• A Generalized Scaling Function for AdS/CFT
• Bootstrapping Null Polygon Wilson Loops
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Cited by in corpus (10)

• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Nonsinglet pentagons and NMHV amplitudes
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Bethe Ansaetze for GKP strings
• Wilson loop OPE, analytic continuation and multi-Regge limit
• On the scattering over the GKP vacuum
• OPE for Super Loops
• Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3
• ABJM flux-tube and scattering amplitudes