Semiclassical quantization of spinning strings in AdS4 × ℂℙ3

By L. Alday, G. Arutyunov, D. Bykov. 2008

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We derive the one-loop correction to the space-time energy of a folded string in AdS4 × 3 carrying spin S in AdS4 and angular momentum J in 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 −(5log 2)/(2π). This value appears to be in conflict with the prediction from the recently conjectured all-loop Bethe ansatz.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e7ab89c3cde5fec1c265979a0482d0b6fee7bcde