Spinning strings at one-loop in AdS_4 x P^3
High Energy Physics - Theory
2009-01-16 v2
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.
Cite
@article{arxiv.0807.3965,
title = {Spinning strings at one-loop in AdS_4 x P^3},
author = {Tristan McLoughlin and Radu Roiban},
journal= {arXiv preprint arXiv:0807.3965},
year = {2009}
}
Comments
24 pages; v2: References added and typos corrected