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arXiv · 2105.04670

Holographic correlators with multi-particle states

Nejc Ceplak·Stefano Giusto·Marcel R. R. Hughes·Rodolfo Russo
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Abstract

We derive the connected tree-level part of 4-point holographic correlators in AdS$_3\times S^3\times \mathcal{M}$ (where ${\cal M}$ is $T^4$ 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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Nejc Ceplak, Stefano Giusto, Marcel R. R. Hughes, Rodolfo Russo. 2021-05-10. Holographic correlators with multi-particle states. https://arxiv.org/abs/2105.04670

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