Abstract
We revisit the calculation of holographic correlators for eleven-dimensional supergravity on AdS7 × S4. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the position space approach developed in [1, 2] for the AdS5 × S5 background, we compute four-point correlators of one-half BPS operators for identical weights k = 2, 3, 4. The k = 2 case corresponds to the four-point function of the stress-tensor multiplet, which was already known, while the other two cases are new. We also translate the problem in Mellin space, where the solution of the superconformal Ward identity takes a surprisingly simple form. We formulate an algebraic problem, whose (conjecturally unique) solution corresponds to the general one-half BPS four-point function.
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Rastelli, L., Zhou, X. Holographic four-point functions in the (2, 0) theory. J. High Energ. Phys. 2018, 87 (2018). https://doi.org/10.1007/JHEP06(2018)087
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DOI: https://doi.org/10.1007/JHEP06(2018)087