Abstract
We derive the connected tree-level part of 4-point holographic correlators in AdS3 × S3 × \( \mathcal{M} \) (where \( \mathcal{M} \) is T4 or K3) involving two multi-trace and two single-trace operators. These connected correlators are obtained by studying a heavy-heavy-light-light correlation function in the formal limit where the heavy operators become light. These results provide a window into higher-point holographic correlators of single-particle operators. We find that the correlators involving multi-trace operators are compactly written in terms of Bloch-Wigner-Ramakrishnan functions — particular linear combinations of higher-order polylogarithm functions. Several consistency checks of the derived expressions are performed in various OPE channels. We also extract the anomalous dimensions and 3-point couplings of the non-BPS double-trace operators of lowest twist at order 1/c and find some positive anomalous dimensions at spin zero and two in the K3 case.
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Čeplak, N., Giusto, S., Hughes, M.R.R. et al. Holographic correlators with multi-particle states. J. High Energ. Phys. 2021, 204 (2021). https://doi.org/10.1007/JHEP09(2021)204
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DOI: https://doi.org/10.1007/JHEP09(2021)204