On superconformal four-point Mellin amplitudes in dimension d > 2

• Main Author: Xinan Zhou
• Format: Article
• Language: English
• Published: SpringerOpen 2018-08-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Conformal Field Theory; Scattering Amplitudes
• Online Access: http://link.springer.com/article/10.1007/JHEP08(2018)187

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 AdS 7 × S 4. We also use this machinery on AdS 4 × S 7 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 N=8 $$ \mathcal{N}=8 $$ numerical bootstrap bound at large central charge.