TY - JOUR

T1 - Higher impurity AdS/CFT correspondence in the near-BMN limit

AU - Callan, Curtis Gove

AU - McLoughlin, Tristan

AU - Swanson, Ian

N1 - Funding Information:
We would like to thank John Schwarz and Jonathan Heckman for helpful discussions. We also thank Gleb Arutjunov, Niklas Beisert, Andrei Belitsky, Charlotte Kristjansen, Didina Serban and Matthias Staudacher for many helpful comments and suggestions. This work was supported in part by US Department of Energy grants DE-FG02-91ER40671 (Princeton) and DE-FG03-92-ER40701 (Caltech).

PY - 2004/11/15

Y1 - 2004/11/15

N2 - The pp-wave/BMN limit of the AdS/CFT correspondence has exposed the Maldacena conjecture to a new regimen of direct tests. In one line of pursuit, finite-radius curvature corrections to the Penrose limit (which appear in inverse powers of the string angular momentum J) have been found to induce a complicated system of interaction perturbations to string theory on the pp-wave; these have been successfully matched to corresponding corrections to the BMN dimensions of N = 4 super-Yang-Mills (SYM) operators to two loops in the 't Hooft coupling λ. This result is tempered by a well-established breakdown in the correspondence at three loops. Notwithstanding the third-order mismatch, we proceed with this line of investigation by subjecting the string and gauge theories to new and significantly more rigorous tests. Specifically, we extend our earlier results at O(1/J) in the curvature expansion to include string states and SYM operators with three worldsheet or R-charge impurities. In accordance with the two-impurity problem, we find a perfect and intricate agreement between both sides of the correspondence to two-loop order in λ and, once again, the string and gauge theory predictions fail to agree at third order.

AB - The pp-wave/BMN limit of the AdS/CFT correspondence has exposed the Maldacena conjecture to a new regimen of direct tests. In one line of pursuit, finite-radius curvature corrections to the Penrose limit (which appear in inverse powers of the string angular momentum J) have been found to induce a complicated system of interaction perturbations to string theory on the pp-wave; these have been successfully matched to corresponding corrections to the BMN dimensions of N = 4 super-Yang-Mills (SYM) operators to two loops in the 't Hooft coupling λ. This result is tempered by a well-established breakdown in the correspondence at three loops. Notwithstanding the third-order mismatch, we proceed with this line of investigation by subjecting the string and gauge theories to new and significantly more rigorous tests. Specifically, we extend our earlier results at O(1/J) in the curvature expansion to include string states and SYM operators with three worldsheet or R-charge impurities. In accordance with the two-impurity problem, we find a perfect and intricate agreement between both sides of the correspondence to two-loop order in λ and, once again, the string and gauge theory predictions fail to agree at third order.

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U2 - 10.1016/j.nuclphysb.2004.08.025

DO - 10.1016/j.nuclphysb.2004.08.025

M3 - Article

AN - SCOPUS:7244257548

VL - 700

SP - 271

EP - 312

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-3

ER -