English

Scattering of Giant Holes

High Energy Physics - Theory 2016-02-25 v2

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.

Keywords

Cite

@article{arxiv.1105.4596,
  title  = {Scattering of Giant Holes},
  author = {Nick Dorey and Peng Zhao},
  journal= {arXiv preprint arXiv:1105.4596},
  year   = {2016}
}

Comments

13 pages. v2: minor corrections, references added