Higher impurity AdS/CFT correspondence in the Near-BMN limit
May, 200443 pages
Published in:
- Nucl.Phys.B 700 (2004) 271-312
e-Print:
- hep-th/0405153 [hep-th]
Report number:
- CALT-68-2499,
- PUPT-2116
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Abstract: (Elsevier)
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.Note:
- 45 pages, LaTeX; notation and references corrected
- 11.15.Pg
- 11.15.-q
- 11.25.-w
- 11.25.Hf
- field theory: anti-de Sitter
- field theory: conformal
- pp-wave
- space: S(5)
- dimension: 10
- string model
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