On boundary correlators in Liouville theory on \(\mathrm{AdS}_2\)
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Publication:2317712
DOI10.1007/JHEP07(2019)008zbMATH Open1418.81071arXiv1904.12753WikidataQ127575475 ScholiaQ127575475MaRDI QIDQ2317712
Author name not available (Why is that?)
Publication date: 12 August 2019
Published in: (Search for Journal in Brave)
Abstract: We consider the Liouville theory in fixed Euclidean AdS background. Expanded near the minimum of the potential the elementary field has mass squared 2 and (assuming the standard Dirichlet b.c.) corresponds to a dimension 2 operator at the boundary. We provide strong evidence for the conjecture that the boundary correlators of the Liouville field are the same as the correlators of the holomorphic stress tensor (or the Virasoro generator with the same central charge) on a half-plane or a disc restricted to the boundary. This relation was first observed at the leading semiclassical order (tree-level Witten diagrams in AdS) in arXiv:1902.10536 and here we demonstrate its validity also at the one-loop level. We also discuss arguments that may lead to its general proof.
Full work available at URL: https://arxiv.org/abs/1904.12753
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