Abstract
We compute four-point functions in the Heavy-Heavy-Light-Light limit involving a large family of \( \frac{1}{8} \) -BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by using the AdS/CFT dictionary of type IIB supergravity on AdS3 × S3 × ℳ4 that maps supersymmetric heavy operators whose conformal dimension is the order of the central charge to explicit asymp-totically AdS supergravity solutions. Using the Ward Identities for the generators of the \( \mathcal{N}=\left(4,4\right) \) superconformalSU(2)Kac-Moodyalgebra,wecanrelateallofthesefour-point functions to each other and to other known four-point functions involving \( \frac{1}{4} \)-BPS heavy states, furnishing non-trivial checks of the computations. Finally, the Ward Identities can be employed to reconstruct the all-light four-point functions, providing the first holographic correlators of single-trace operators computed in AdS3 involving \( \frac{1}{8} \)-BPS operators.
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ArXiv ePrint: 1904.02656
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Bombini, A., Galliani, A. AdS3 four-point functions from \( \frac{1}{8} \)-BPS states. J. High Energ. Phys. 2019, 44 (2019). https://doi.org/10.1007/JHEP06(2019)044
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DOI: https://doi.org/10.1007/JHEP06(2019)044