English

Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3

High Energy Physics - Theory 2011-03-02 v2

Abstract

We derive the one-loop correction to the space-time energy of a folded string in AdS_4 x CP^3 carrying spin S in AdS_4 and angular momentum J in CP^3 in the long string approximation. From this general result in the limit J << log S we obtain the one-loop correction to the cusp anomalous dimension which turns out to be -5 log 2/(2\pi). This value appears to be in conflict with the prediction from the recently conjectured all-loop Bethe ansatz.

Keywords

Cite

@article{arxiv.0807.4400,
  title  = {Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3},
  author = {Luis F. Alday and Gleb Arutyunov and Dmitri Bykov},
  journal= {arXiv preprint arXiv:0807.4400},
  year   = {2011}
}

Comments

22 pages; v2: References added and typos corrected

R2 v1 2026-06-21T11:04:56.225Z