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

Curtis Gove Callan, Tristan McLoughlin, Ian Swanson

Research output: Contribution to journalArticlepeer-review

65 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)271-312
Number of pages42
JournalNuclear Physics B
Issue number1-3
StatePublished - Nov 15 2004

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


Dive into the research topics of 'Higher impurity AdS/CFT correspondence in the near-BMN limit'. Together they form a unique fingerprint.

Cite this