Spinning strings at one-loop in \(\mathrm{AdS}_4\times\mathbb P^3\). (English) Zbl 1329.81319
Summary: We analyze the folded spinning string in \(\mathrm{AdS}_4 \times \mathbb P^3\) with spin \(S\) in \(\mathrm{AdS}_4\) and angular momentum \(J\) in \(\mathbb P^3\). We calculate the one-loop correction to its energy in the scaling limit of both \(\ln S\) and \(J\) large with their ratio kept fixed. This result should correspond to the first subleading strong coupling correction to the anomalous dimension of operators of the type \(\mathrm{Tr}(D^S(Y^† Y)^J)\) in the dual \(\mathcal N=6\) Chern-Simons-matter theory. Our result appears to depart from the predictions for the generalized scaling function found from the all-loop Bethe equations conjectured for this \(\mathrm{AdS}_4/\mathrm{CFT}_3\) duality. We comment on the possible origin of this difference.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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