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

DOI10.1007/JHEP08(2018)187zbMATH Open1396.81185arXiv1712.02800MaRDI QIDQ1783907

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Publication date: 21 September 2018

Published in: (Search for Journal in Brave)

Abstract: We present a universal treatment for imposing superconformal constraints on Mellin amplitudes for $mathrmSCF{T}_d$ with $3leqdleq6$. 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 $Ad{S}_{7}imes{S}^4$. We also use this machinery on $Ad{S}_{4}imes{S}^7$ 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 $mathcalN=8$ numerical bootstrap bound at large central charge.

Full work available at URL: https://arxiv.org/abs/1712.02800

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