Spinning strings in AdS4 × CP³ and quantum corrections

Abstract

We derive the one-loop correction to the space-time energy of a folded string in AdS4 × CP3 carrying spin S in AdS4 and angular momentum J in CP3 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). This value appears to be in conflict with the prediction from the recently conjectured all-loop Bethe ansatz.