Details

Autor(en) / Beteiligte

• Čeplak, Nejc
• Giusto, Stefano
• Hughes, Marcel R. R.
• Russo, Rodolfo

Titel

Holographic correlators with multi-particle states

Ist Teil von

• The journal of high energy physics, 2021-09, Vol.2021 (9), p.1-42, Article 204

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2021

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• A bstract We derive the connected tree-level part of 4-point holographic correlators in AdS 3 × S 3 × M (where M is T 4 or K 3) 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.