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Scattering of giant holes

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Abstract

We study scalar excitations of high spin operators in \( \mathcal{N} = 4 \) super Yang-Mills theory, which are dual to solitons propagating on a long folded string in AdS 3 × S 1. In the spin chain description of the gauge theory, these are associated to holes in the magnon distribution in the \( \mathfrak{s}\mathfrak{l}\left( {2,\mathbb{R}} \right) \) 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.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, U.K.

    Nick Dorey & Peng Zhao

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  1. Nick Dorey
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  2. Peng Zhao
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Correspondence to Peng Zhao.

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ArXiv ePrint: 1105.4596

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Dorey, N., Zhao, P. Scattering of giant holes. J. High Energ. Phys. 2011, 134 (2011). https://doi.org/10.1007/JHEP08(2011)134

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  • DOI: https://doi.org/10.1007/JHEP08(2011)134

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