Spinning strings at one-loop in AdS_4 x P^3

TL;DR

This paper computes the one-loop energy correction for a spinning string in AdS_4 x P^3, providing insights into the strong coupling behavior of dual operators in N=6 Chern-Simons-matter theory, and discusses discrepancies with Bethe ansatz predictions.

Contribution

It presents the first calculation of the one-loop correction to spinning string energy in AdS_4 x P^3, challenging existing all-loop Bethe equation predictions for the dual CFT.

Findings

One-loop correction computed for spinning strings in AdS_4 x P^3.

Discrepancy observed between string theory results and Bethe ansatz predictions.

Insights into strong coupling behavior of dual operators in N=6 Chern-Simons-matter theory.

Abstract

We analyze the folded spinning string in AdS_4 x P^3 with spin S in AdS_4 and angular momentum J in 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 Tr(D^S(Y^\dagger Y)^J) in the dual 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 AdS_4/CFT_3 duality. We comment on the possible origin of this difference.