\(\mathrm{SL}(2)\) sector: weak/strong coupling agreement of three-point correlators. (English) Zbl 1301.81129
Summary: We evaluate three-point correlation functions of single trace operators in \(N = 4\) SYM at both weak and strong coupling. We focus on the case where two of the operators belong in a \(\mathrm{SL}(2)\) sub-sector, and are dual to string solutions in a broad class of solutions with large \(S\) and \(J\) charges, while the third operator is a BPS state. Perfect agreement between the structure constants at weak and strong coupling is found. Finally, comments on this matching, as well as on the space-time structure of the correlators, are given.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 81T18 | Feynman diagrams |
Keywords:
AdS-CFT correspondence; supersymmetric gauge theory; extended supersymmetry; \(1/N\) expansionReferences:
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