Conformal partial wave analysis of AdS amplitudes for dilaton-axion four-point functions Original Research Article

Operator product expansions are applied to dilaton-axion four-point functions. In the expansions of the bilocal fields Φ̃Φ̃, C̃C̃ and Φ̃C̃, the conformal fields which are symmetric traceless tensors of rank l and have dimensions δ=2+l or 8+l+η(l) and η(l)=O(N−2) are identified. The unidentified fields have dimension δ=λ+l+η(l) with λ⩾10. The anomalous dimensions η(l) are calculated at order O(N−2) for both 2−12(−Φ̃Φ̃+C̃C̃) and 2−12(Φ̃C̃+C̃Φ̃) and are found to be the same, proving U(1)Y symmetry. The relevant coupling constants are given at order O(1).