Abstract
We present a universal treatment for imposing superconformal constraints on Mellin amplitudes for SCFTd with 3 ≤ d ≤ 6. This leads to a new technique to compute holographic correlators, which is similar but complementary to the ones introduced in [1, 2]. We apply this technique to theories in various spacetime dimensions. In addition to reproducing known results, we obtain a simple expression for next-next-to-extremal four-point functions in AdS7 × S4. We also use this machinery on AdS4 × S7 and compute the first holographic one-half BPS four-point function. We extract the anomalous dimension of the R-symmetry singlet double-trace operator with the lowest conformal dimension and find agreement with the 3d \( \mathcal{N}=8 \) numerical bootstrap bound at large central charge.
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Zhou, X. On superconformal four-point Mellin amplitudes in dimension d > 2. J. High Energ. Phys. 2018, 187 (2018). https://doi.org/10.1007/JHEP08(2018)187
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DOI: https://doi.org/10.1007/JHEP08(2018)187