Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages; v2: References added and typos corrected

Scientific paper

10.1088/1126-6708/2008/11/089

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.

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