2004/05/19 by Ian Swanson, Swanson, Ian
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0405172
v2: corrections and improvements; v3: small correction to section 3; 20 pages, LaTeX
openalex publication_date 2004/05/19 · arxiv created 2004/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Integrability occupies an increasingly important role in direct tests of the AdS/CFT correspondence. Integrable structures have appeared in both planar N=4 super Yang-Mills theory and type IIB superstring theory on AdS5 x S5. A generalized statement of the AdS/CFT conjecture has therefore emerged in which, in addition to string energies corresponding to gauge theory anomalous dimensions, an infinite tower of higher charges on each side of the duality should also be equated. Demonstrations of this larger equivalence have been successful in certain regimes. To test this correspondence in a more stringent setting, the bosonic sector of the fully quantized string theory on AdS5 x S5 is expanded about the pp-wave limit to sextic order in fields, or to O(1/J2), where J is the (large) angular momentum of string states boosted along an equatorial geodesic in the S5 subspace. To avoid issues of renormalization, the analysis is restricted to zeroth order in the modified 't Hooft coupling where consistency conditions demand that integrability be realized. The string theory, however, fails to meet these conditions. This signals a potential problem with higher-order corrections in the large-J expansion around the pp-wave limit.