Abstract
We study correlators of four protected (half-BPS) operators in strongly coupled supersymmetric Yang-Mills theory. These are dual to tree-level supergravity amplitudes on AdS5×S5 for various spherical harmonics on the five-sphere. We use conformal field theory methods, in particular a recently obtained Lorentzian inversion formula, to analytically bootstrap these correlators. The extracted 1/N2 double-trace anomalous dimensions confirm a simple pattern recently conjectured by Aprile, Drummond, Heslop and Paul. We explain this pattern by an unexpected ten-dimensional conformal symmetry which appears to be enjoyed by tree-level supergravity (or a suitable subsector of it). The symmetry combines all spherical harmonics into a single ten-dimensional object, and yields compact expressions for the leading logarithmic part of any half-BPS correlator at each loop order.
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Caron-Huot, S., Trinh, AK. All tree-level correlators in AdS5×S5 supergravity: hidden ten-dimensional conformal symmetry. J. High Energ. Phys. 2019, 196 (2019). https://doi.org/10.1007/JHEP01(2019)196
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DOI: https://doi.org/10.1007/JHEP01(2019)196